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Finding the Fourth Proportional to 89.60, 135.20 and 81.20

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Solution

The fourth proportional to 89.60, 135.20 and 81.20 is: 122.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.60 : 135.20 = 81.20 : x
  2. Step 2: Convert to fraction form
    89.60/135.20 = 81.20/x
  3. Step 3: Cross multiply
    89.60x = 135.20 × 81.20
  4. Step 4: Simplify right side
    89.60x = 10,978.24
  5. Step 5: Solve for x
    x = 10,978.24/89.60
  6. Step 6: Final answer
    x = 122.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.