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Finding the Fourth Proportional to 124.23, 171.66 and 106.95

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Solution

The fourth proportional to 124.23, 171.66 and 106.95 is: 147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.23 : 171.66 = 106.95 : x
  2. Step 2: Convert to fraction form
    124.23/171.66 = 106.95/x
  3. Step 3: Cross multiply
    124.23x = 171.66 × 106.95
  4. Step 4: Simplify right side
    124.23x = 18,359.04
  5. Step 5: Solve for x
    x = 18,359.04/124.23
  6. Step 6: Final answer
    x = 147.78

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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.