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Finding the Fourth Proportional to 88.28, 132.61 and 76.74

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Solution

The fourth proportional to 88.28, 132.61 and 76.74 is: 115.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.28 : 132.61 = 76.74 : x
  2. Step 2: Convert to fraction form
    88.28/132.61 = 76.74/x
  3. Step 3: Cross multiply
    88.28x = 132.61 × 76.74
  4. Step 4: Simplify right side
    88.28x = 10,176.49
  5. Step 5: Solve for x
    x = 10,176.49/88.28
  6. Step 6: Final answer
    x = 115.28

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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.