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Finding the Fourth Proportional to 89.76, 134.28 and 82.92

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Solution

The fourth proportional to 89.76, 134.28 and 82.92 is: 124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.76 : 134.28 = 82.92 : x
  2. Step 2: Convert to fraction form
    89.76/134.28 = 82.92/x
  3. Step 3: Cross multiply
    89.76x = 134.28 × 82.92
  4. Step 4: Simplify right side
    89.76x = 11,134.50
  5. Step 5: Solve for x
    x = 11,134.50/89.76
  6. Step 6: Final answer
    x = 124.05

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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.