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Finding the Fourth Proportional to 52.27, 78.06 and 51.71

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Solution

The fourth proportional to 52.27, 78.06 and 51.71 is: 77.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.27 : 78.06 = 51.71 : x
  2. Step 2: Convert to fraction form
    52.27/78.06 = 51.71/x
  3. Step 3: Cross multiply
    52.27x = 78.06 × 51.71
  4. Step 4: Simplify right side
    52.27x = 4,035.96
  5. Step 5: Solve for x
    x = 4,035.96/52.27
  6. Step 6: Final answer
    x = 77.21

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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.