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Finding the Fourth Proportional to 100.69, 139.02 and 71.53

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Solution

The fourth proportional to 100.69, 139.02 and 71.53 is: 98.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.69 : 139.02 = 71.53 : x
  2. Step 2: Convert to fraction form
    100.69/139.02 = 71.53/x
  3. Step 3: Cross multiply
    100.69x = 139.02 × 71.53
  4. Step 4: Simplify right side
    100.69x = 9,943.48
  5. Step 5: Solve for x
    x = 9,943.48/100.69
  6. Step 6: Final answer
    x = 98.76

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