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Finding the Fourth Proportional to 76.32, 113.76 and 71.64

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Solution

The fourth proportional to 76.32, 113.76 and 71.64 is: 106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.32 : 113.76 = 71.64 : x
  2. Step 2: Convert to fraction form
    76.32/113.76 = 71.64/x
  3. Step 3: Cross multiply
    76.32x = 113.76 × 71.64
  4. Step 4: Simplify right side
    76.32x = 8,149.77
  5. Step 5: Solve for x
    x = 8,149.77/76.32
  6. Step 6: Final answer
    x = 106.78

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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.