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Finding the Fourth Proportional to 52.53, 78.71 and 29.71

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Solution

The fourth proportional to 52.53, 78.71 and 29.71 is: 44.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.53 : 78.71 = 29.71 : x
  2. Step 2: Convert to fraction form
    52.53/78.71 = 29.71/x
  3. Step 3: Cross multiply
    52.53x = 78.71 × 29.71
  4. Step 4: Simplify right side
    52.53x = 2,338.42
  5. Step 5: Solve for x
    x = 2,338.42/52.53
  6. Step 6: Final answer
    x = 44.52

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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.