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Finding the Fourth Proportional to 89.72, 133.92 and 83.53

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Solution

The fourth proportional to 89.72, 133.92 and 83.53 is: 124.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.72 : 133.92 = 83.53 : x
  2. Step 2: Convert to fraction form
    89.72/133.92 = 83.53/x
  3. Step 3: Cross multiply
    89.72x = 133.92 × 83.53
  4. Step 4: Simplify right side
    89.72x = 11,186.34
  5. Step 5: Solve for x
    x = 11,186.34/89.72
  6. Step 6: Final answer
    x = 124.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.