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Finding the Fourth Proportional to 61.38, 84.57 and 47.56

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Solution

The fourth proportional to 61.38, 84.57 and 47.56 is: 65.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.38 : 84.57 = 47.56 : x
  2. Step 2: Convert to fraction form
    61.38/84.57 = 47.56/x
  3. Step 3: Cross multiply
    61.38x = 84.57 × 47.56
  4. Step 4: Simplify right side
    61.38x = 4,022.29
  5. Step 5: Solve for x
    x = 4,022.29/61.38
  6. Step 6: Final answer
    x = 65.53

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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.