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Finding the Fourth Proportional to 99.72, 137.62 and 67.02

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Solution

The fourth proportional to 99.72, 137.62 and 67.02 is: 92.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.72 : 137.62 = 67.02 : x
  2. Step 2: Convert to fraction form
    99.72/137.62 = 67.02/x
  3. Step 3: Cross multiply
    99.72x = 137.62 × 67.02
  4. Step 4: Simplify right side
    99.72x = 9,223.29
  5. Step 5: Solve for x
    x = 9,223.29/99.72
  6. Step 6: Final answer
    x = 92.49

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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.