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Finding the Fourth Proportional to 52.55, 78.39 and 47.42

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Solution

The fourth proportional to 52.55, 78.39 and 47.42 is: 70.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.55 : 78.39 = 47.42 : x
  2. Step 2: Convert to fraction form
    52.55/78.39 = 47.42/x
  3. Step 3: Cross multiply
    52.55x = 78.39 × 47.42
  4. Step 4: Simplify right side
    52.55x = 3,716.86
  5. Step 5: Solve for x
    x = 3,716.86/52.55
  6. Step 6: Final answer
    x = 70.74

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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.