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Finding the Fourth Proportional to 89.22, 132.90 and 89.04

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Solution

The fourth proportional to 89.22, 132.90 and 89.04 is: 132.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.22 : 132.90 = 89.04 : x
  2. Step 2: Convert to fraction form
    89.22/132.90 = 89.04/x
  3. Step 3: Cross multiply
    89.22x = 132.90 × 89.04
  4. Step 4: Simplify right side
    89.22x = 11,833.42
  5. Step 5: Solve for x
    x = 11,833.42/89.22
  6. Step 6: Final answer
    x = 132.63

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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.