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Finding the Fourth Proportional to 52.62, 78.85 and 47.78

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Solution

The fourth proportional to 52.62, 78.85 and 47.78 is: 71.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.62 : 78.85 = 47.78 : x
  2. Step 2: Convert to fraction form
    52.62/78.85 = 47.78/x
  3. Step 3: Cross multiply
    52.62x = 78.85 × 47.78
  4. Step 4: Simplify right side
    52.62x = 3,767.21
  5. Step 5: Solve for x
    x = 3,767.21/52.62
  6. Step 6: Final answer
    x = 71.59

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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.