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Finding the Fourth Proportional to 153.38, 229.72 and 107.93

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Solution

The fourth proportional to 153.38, 229.72 and 107.93 is: 161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.38 : 229.72 = 107.93 : x
  2. Step 2: Convert to fraction form
    153.38/229.72 = 107.93/x
  3. Step 3: Cross multiply
    153.38x = 229.72 × 107.93
  4. Step 4: Simplify right side
    153.38x = 24,793.68
  5. Step 5: Solve for x
    x = 24,793.68/153.38
  6. Step 6: Final answer
    x = 161.65

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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.