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Finding the Fourth Proportional to 71.76, 107.36 and 51.52

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Solution

The fourth proportional to 71.76, 107.36 and 51.52 is: 77.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.76 : 107.36 = 51.52 : x
  2. Step 2: Convert to fraction form
    71.76/107.36 = 51.52/x
  3. Step 3: Cross multiply
    71.76x = 107.36 × 51.52
  4. Step 4: Simplify right side
    71.76x = 5,531.19
  5. Step 5: Solve for x
    x = 5,531.19/71.76
  6. Step 6: Final answer
    x = 77.08

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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.