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Finding the Fourth Proportional to 88.59, 132.28 and 75.76

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Solution

The fourth proportional to 88.59, 132.28 and 75.76 is: 113.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.59 : 132.28 = 75.76 : x
  2. Step 2: Convert to fraction form
    88.59/132.28 = 75.76/x
  3. Step 3: Cross multiply
    88.59x = 132.28 × 75.76
  4. Step 4: Simplify right side
    88.59x = 10,021.81
  5. Step 5: Solve for x
    x = 10,021.81/88.59
  6. Step 6: Final answer
    x = 113.12

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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.