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Finding the Fourth Proportional to 89, 132.80 and 80.92

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Solution

The fourth proportional to 89, 132.80 and 80.92 is: 120.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    89 : 132.80 = 80.92 : x
  2. Step 2: Convert to fraction form
    89/132.80 = 80.92/x
  3. Step 3: Cross multiply
    89x = 132.80 × 80.92
  4. Step 4: Simplify right side
    89x = 10,746.18
  5. Step 5: Solve for x
    x = 10,746.18/89
  6. Step 6: Final answer
    x = 120.74

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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.