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Finding the Fourth Proportional to 88.52, 132.76 and 76.76

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Solution

The fourth proportional to 88.52, 132.76 and 76.76 is: 115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.52 : 132.76 = 76.76 : x
  2. Step 2: Convert to fraction form
    88.52/132.76 = 76.76/x
  3. Step 3: Cross multiply
    88.52x = 132.76 × 76.76
  4. Step 4: Simplify right side
    88.52x = 10,190.66
  5. Step 5: Solve for x
    x = 10,190.66/88.52
  6. Step 6: Final answer
    x = 115.12

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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.