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Finding the Fourth Proportional to 52.47, 78.48 and 43.74

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Solution

The fourth proportional to 52.47, 78.48 and 43.74 is: 65.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.47 : 78.48 = 43.74 : x
  2. Step 2: Convert to fraction form
    52.47/78.48 = 43.74/x
  3. Step 3: Cross multiply
    52.47x = 78.48 × 43.74
  4. Step 4: Simplify right side
    52.47x = 3,432.72
  5. Step 5: Solve for x
    x = 3,432.72/52.47
  6. Step 6: Final answer
    x = 65.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.