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Finding the Fourth Proportional to 99.68, 137.57 and 75.11

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Solution

The fourth proportional to 99.68, 137.57 and 75.11 is: 103.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.68 : 137.57 = 75.11 : x
  2. Step 2: Convert to fraction form
    99.68/137.57 = 75.11/x
  3. Step 3: Cross multiply
    99.68x = 137.57 × 75.11
  4. Step 4: Simplify right side
    99.68x = 10,331.82
  5. Step 5: Solve for x
    x = 10,331.82/99.68
  6. Step 6: Final answer
    x = 103.66

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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.