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Finding the Fourth Proportional to 62.34, 85.96 and 47.76

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Solution

The fourth proportional to 62.34, 85.96 and 47.76 is: 65.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.34 : 85.96 = 47.76 : x
  2. Step 2: Convert to fraction form
    62.34/85.96 = 47.76/x
  3. Step 3: Cross multiply
    62.34x = 85.96 × 47.76
  4. Step 4: Simplify right side
    62.34x = 4,105.45
  5. Step 5: Solve for x
    x = 4,105.45/62.34
  6. Step 6: Final answer
    x = 65.86

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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.