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Finding the Fourth Proportional to 62.52, 93.57 and 45.42

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Solution

The fourth proportional to 62.52, 93.57 and 45.42 is: 67.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.52 : 93.57 = 45.42 : x
  2. Step 2: Convert to fraction form
    62.52/93.57 = 45.42/x
  3. Step 3: Cross multiply
    62.52x = 93.57 × 45.42
  4. Step 4: Simplify right side
    62.52x = 4,249.95
  5. Step 5: Solve for x
    x = 4,249.95/62.52
  6. Step 6: Final answer
    x = 67.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.