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Finding the Fourth Proportional to 363.63, 545.45 and 107.13

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Solution

The fourth proportional to 363.63, 545.45 and 107.13 is: 160.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.63 : 545.45 = 107.13 : x
  2. Step 2: Convert to fraction form
    363.63/545.45 = 107.13/x
  3. Step 3: Cross multiply
    363.63x = 545.45 × 107.13
  4. Step 4: Simplify right side
    363.63x = 58,434.06
  5. Step 5: Solve for x
    x = 58,434.06/363.63
  6. Step 6: Final answer
    x = 160.70

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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.