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Finding the Fourth Proportional to 124.10, 185.03 and 120.95

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Solution

The fourth proportional to 124.10, 185.03 and 120.95 is: 180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.10 : 185.03 = 120.95 : x
  2. Step 2: Convert to fraction form
    124.10/185.03 = 120.95/x
  3. Step 3: Cross multiply
    124.10x = 185.03 × 120.95
  4. Step 4: Simplify right side
    124.10x = 22,377.85
  5. Step 5: Solve for x
    x = 22,377.85/124.10
  6. Step 6: Final answer
    x = 180.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.