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Finding the Fourth Proportional to 52.38, 71.95 and 47.94

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Solution

The fourth proportional to 52.38, 71.95 and 47.94 is: 65.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.38 : 71.95 = 47.94 : x
  2. Step 2: Convert to fraction form
    52.38/71.95 = 47.94/x
  3. Step 3: Cross multiply
    52.38x = 71.95 × 47.94
  4. Step 4: Simplify right side
    52.38x = 3,449.28
  5. Step 5: Solve for x
    x = 3,449.28/52.38
  6. Step 6: Final answer
    x = 65.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.