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Finding the Fourth Proportional to 363.64, 545.47 and 89.73

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Solution

The fourth proportional to 363.64, 545.47 and 89.73 is: 134.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.64 : 545.47 = 89.73 : x
  2. Step 2: Convert to fraction form
    363.64/545.47 = 89.73/x
  3. Step 3: Cross multiply
    363.64x = 545.47 × 89.73
  4. Step 4: Simplify right side
    363.64x = 48,945.02
  5. Step 5: Solve for x
    x = 48,945.02/363.64
  6. Step 6: Final answer
    x = 134.60

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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.