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Finding the Fourth Proportional to 52.57, 78.82 and 29.76

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Solution

The fourth proportional to 52.57, 78.82 and 29.76 is: 44.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.57 : 78.82 = 29.76 : x
  2. Step 2: Convert to fraction form
    52.57/78.82 = 29.76/x
  3. Step 3: Cross multiply
    52.57x = 78.82 × 29.76
  4. Step 4: Simplify right side
    52.57x = 2,345.68
  5. Step 5: Solve for x
    x = 2,345.68/52.57
  6. Step 6: Final answer
    x = 44.62

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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.