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Finding the Fourth Proportional to 123.32, 169.22 and 112.32

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Solution

The fourth proportional to 123.32, 169.22 and 112.32 is: 154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.32 : 169.22 = 112.32 : x
  2. Step 2: Convert to fraction form
    123.32/169.22 = 112.32/x
  3. Step 3: Cross multiply
    123.32x = 169.22 × 112.32
  4. Step 4: Simplify right side
    123.32x = 19,006.79
  5. Step 5: Solve for x
    x = 19,006.79/123.32
  6. Step 6: Final answer
    x = 154.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.