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Finding the Fourth Proportional to 62.77, 94.08 and 42.49

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Solution

The fourth proportional to 62.77, 94.08 and 42.49 is: 63.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.77 : 94.08 = 42.49 : x
  2. Step 2: Convert to fraction form
    62.77/94.08 = 42.49/x
  3. Step 3: Cross multiply
    62.77x = 94.08 × 42.49
  4. Step 4: Simplify right side
    62.77x = 3,997.46
  5. Step 5: Solve for x
    x = 3,997.46/62.77
  6. Step 6: Final answer
    x = 63.68

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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.