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Finding the Fourth Proportional to 88.72, 132.80 and 84.56

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Solution

The fourth proportional to 88.72, 132.80 and 84.56 is: 126.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.72 : 132.80 = 84.56 : x
  2. Step 2: Convert to fraction form
    88.72/132.80 = 84.56/x
  3. Step 3: Cross multiply
    88.72x = 132.80 × 84.56
  4. Step 4: Simplify right side
    88.72x = 11,229.57
  5. Step 5: Solve for x
    x = 11,229.57/88.72
  6. Step 6: Final answer
    x = 126.57

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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.