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Finding the Fourth Proportional to 87.10, 119.66 and 70.68

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Solution

The fourth proportional to 87.10, 119.66 and 70.68 is: 97.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.10 : 119.66 = 70.68 : x
  2. Step 2: Convert to fraction form
    87.10/119.66 = 70.68/x
  3. Step 3: Cross multiply
    87.10x = 119.66 × 70.68
  4. Step 4: Simplify right side
    87.10x = 8,457.57
  5. Step 5: Solve for x
    x = 8,457.57/87.10
  6. Step 6: Final answer
    x = 97.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.