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Finding the Fourth Proportional to 51.91, 77.48 and 47.64

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Solution

The fourth proportional to 51.91, 77.48 and 47.64 is: 71.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.91 : 77.48 = 47.64 : x
  2. Step 2: Convert to fraction form
    51.91/77.48 = 47.64/x
  3. Step 3: Cross multiply
    51.91x = 77.48 × 47.64
  4. Step 4: Simplify right side
    51.91x = 3,691.15
  5. Step 5: Solve for x
    x = 3,691.15/51.91
  6. Step 6: Final answer
    x = 71.11

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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.