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Finding the Fourth Proportional to 123.93, 170.88 and 107.31

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Solution

The fourth proportional to 123.93, 170.88 and 107.31 is: 147.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.93 : 170.88 = 107.31 : x
  2. Step 2: Convert to fraction form
    123.93/170.88 = 107.31/x
  3. Step 3: Cross multiply
    123.93x = 170.88 × 107.31
  4. Step 4: Simplify right side
    123.93x = 18,337.13
  5. Step 5: Solve for x
    x = 18,337.13/123.93
  6. Step 6: Final answer
    x = 147.96

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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.