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Finding the Fourth Proportional to 88.40, 131.96 and 76.92

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Solution

The fourth proportional to 88.40, 131.96 and 76.92 is: 114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.40 : 131.96 = 76.92 : x
  2. Step 2: Convert to fraction form
    88.40/131.96 = 76.92/x
  3. Step 3: Cross multiply
    88.40x = 131.96 × 76.92
  4. Step 4: Simplify right side
    88.40x = 10,150.36
  5. Step 5: Solve for x
    x = 10,150.36/88.40
  6. Step 6: Final answer
    x = 114.82

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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.