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Finding the Fourth Proportional to 61.14, 91.47 and 52.47

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Solution

The fourth proportional to 61.14, 91.47 and 52.47 is: 78.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.14 : 91.47 = 52.47 : x
  2. Step 2: Convert to fraction form
    61.14/91.47 = 52.47/x
  3. Step 3: Cross multiply
    61.14x = 91.47 × 52.47
  4. Step 4: Simplify right side
    61.14x = 4,799.43
  5. Step 5: Solve for x
    x = 4,799.43/61.14
  6. Step 6: Final answer
    x = 78.50

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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.