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jojo1058
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Lanuel

The fourth number is 92.

  • Let the unknown number be n.

Given the following data:

  • First number = 80
  • Second number = 95
  • Third number = 85
  • Mean = 88

To find the fourth number (unknown number);

[tex]Mean = \frac{Sum \;of \;all \;numbers}{Total\; numbers} \\\\88 = \frac{80 \;+ \;95 \;+ \;85 \;+ \;n}{4} \\\\88 = \frac{260 \;+ \;n}{4}[/tex]

Cross-multiplying, we have;

[tex]88[/tex] × [tex]4 = 260 \; +\; n[/tex]

[tex]352 = 260\; + \;n\\\\n = 352 - 260[/tex]

Fourth number, n = 92

Therefore, the fourth number is 92.

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