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Finding the Fourth Proportional to 88.25, 131.76 and 75.42

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Solution

The fourth proportional to 88.25, 131.76 and 75.42 is: 112.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.25 : 131.76 = 75.42 : x
  2. Step 2: Convert to fraction form
    88.25/131.76 = 75.42/x
  3. Step 3: Cross multiply
    88.25x = 131.76 × 75.42
  4. Step 4: Simplify right side
    88.25x = 9,936.30
  5. Step 5: Solve for x
    x = 9,936.30/88.25
  6. Step 6: Final answer
    x = 112.59

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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.