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Finding the Fourth Proportional to 123.32, 169.96 and 107.72

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Solution

The fourth proportional to 123.32, 169.96 and 107.72 is: 148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.32 : 169.96 = 107.72 : x
  2. Step 2: Convert to fraction form
    123.32/169.96 = 107.72/x
  3. Step 3: Cross multiply
    123.32x = 169.96 × 107.72
  4. Step 4: Simplify right side
    123.32x = 18,308.09
  5. Step 5: Solve for x
    x = 18,308.09/123.32
  6. Step 6: Final answer
    x = 148.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.