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Finding the Fourth Proportional to 71.77, 107.76 and 51.57

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Solution

The fourth proportional to 71.77, 107.76 and 51.57 is: 77.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.77 : 107.76 = 51.57 : x
  2. Step 2: Convert to fraction form
    71.77/107.76 = 51.57/x
  3. Step 3: Cross multiply
    71.77x = 107.76 × 51.57
  4. Step 4: Simplify right side
    71.77x = 5,557.18
  5. Step 5: Solve for x
    x = 5,557.18/71.77
  6. Step 6: Final answer
    x = 77.43

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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.