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Finding the Fourth Proportional to 88.40, 131.96 and 82.32

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Solution

The fourth proportional to 88.40, 131.96 and 82.32 is: 122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.40 : 131.96 = 82.32 : x
  2. Step 2: Convert to fraction form
    88.40/131.96 = 82.32/x
  3. Step 3: Cross multiply
    88.40x = 131.96 × 82.32
  4. Step 4: Simplify right side
    88.40x = 10,862.95
  5. Step 5: Solve for x
    x = 10,862.95/88.40
  6. Step 6: Final answer
    x = 122.88

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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.