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Finding the Fourth Proportional to 101.72, 139.52 and 99.96

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Solution

The fourth proportional to 101.72, 139.52 and 99.96 is: 137.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.72 : 139.52 = 99.96 : x
  2. Step 2: Convert to fraction form
    101.72/139.52 = 99.96/x
  3. Step 3: Cross multiply
    101.72x = 139.52 × 99.96
  4. Step 4: Simplify right side
    101.72x = 13,946.42
  5. Step 5: Solve for x
    x = 13,946.42/101.72
  6. Step 6: Final answer
    x = 137.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.