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Finding the Fourth Proportional to 124.45, 186.41 and 78.03

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Solution

The fourth proportional to 124.45, 186.41 and 78.03 is: 116.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.45 : 186.41 = 78.03 : x
  2. Step 2: Convert to fraction form
    124.45/186.41 = 78.03/x
  3. Step 3: Cross multiply
    124.45x = 186.41 × 78.03
  4. Step 4: Simplify right side
    124.45x = 14,545.77
  5. Step 5: Solve for x
    x = 14,545.77/124.45
  6. Step 6: Final answer
    x = 116.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.