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Finding the Fourth Proportional to 110.65, 152.61 and 81.13

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Solution

The fourth proportional to 110.65, 152.61 and 81.13 is: 111.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.65 : 152.61 = 81.13 : x
  2. Step 2: Convert to fraction form
    110.65/152.61 = 81.13/x
  3. Step 3: Cross multiply
    110.65x = 152.61 × 81.13
  4. Step 4: Simplify right side
    110.65x = 12,381.96
  5. Step 5: Solve for x
    x = 12,381.96/110.65
  6. Step 6: Final answer
    x = 111.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.