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Finding the Fourth Proportional to 52.71, 78.50 and 51.79

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Solution

The fourth proportional to 52.71, 78.50 and 51.79 is: 77.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.71 : 78.50 = 51.79 : x
  2. Step 2: Convert to fraction form
    52.71/78.50 = 51.79/x
  3. Step 3: Cross multiply
    52.71x = 78.50 × 51.79
  4. Step 4: Simplify right side
    52.71x = 4,065.25
  5. Step 5: Solve for x
    x = 4,065.25/52.71
  6. Step 6: Final answer
    x = 77.12

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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.