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Finding the Fourth Proportional to 124.40, 185.50 and 120.44

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Solution

The fourth proportional to 124.40, 185.50 and 120.44 is: 179.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.40 : 185.50 = 120.44 : x
  2. Step 2: Convert to fraction form
    124.40/185.50 = 120.44/x
  3. Step 3: Cross multiply
    124.40x = 185.50 × 120.44
  4. Step 4: Simplify right side
    124.40x = 22,341.62
  5. Step 5: Solve for x
    x = 22,341.62/124.40
  6. Step 6: Final answer
    x = 179.60

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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.