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Finding the Fourth Proportional to 52.68, 78.65 and 47.78

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Solution

The fourth proportional to 52.68, 78.65 and 47.78 is: 71.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.68 : 78.65 = 47.78 : x
  2. Step 2: Convert to fraction form
    52.68/78.65 = 47.78/x
  3. Step 3: Cross multiply
    52.68x = 78.65 × 47.78
  4. Step 4: Simplify right side
    52.68x = 3,757.90
  5. Step 5: Solve for x
    x = 3,757.90/52.68
  6. Step 6: Final answer
    x = 71.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.