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Finding the Fourth Proportional to 99.48, 137.22 and 74.88

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Solution

The fourth proportional to 99.48, 137.22 and 74.88 is: 103.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.48 : 137.22 = 74.88 : x
  2. Step 2: Convert to fraction form
    99.48/137.22 = 74.88/x
  3. Step 3: Cross multiply
    99.48x = 137.22 × 74.88
  4. Step 4: Simplify right side
    99.48x = 10,274.75
  5. Step 5: Solve for x
    x = 10,274.75/99.48
  6. Step 6: Final answer
    x = 103.28

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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.