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Finding the Fourth Proportional to 110.13, 151.62 and 82.47

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Solution

The fourth proportional to 110.13, 151.62 and 82.47 is: 113.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.13 : 151.62 = 82.47 : x
  2. Step 2: Convert to fraction form
    110.13/151.62 = 82.47/x
  3. Step 3: Cross multiply
    110.13x = 151.62 × 82.47
  4. Step 4: Simplify right side
    110.13x = 12,503.97
  5. Step 5: Solve for x
    x = 12,503.97/110.13
  6. Step 6: Final answer
    x = 113.53

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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.