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Finding the Fourth Proportional to 153.12, 229.53 and 75.97

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Solution

The fourth proportional to 153.12, 229.53 and 75.97 is: 113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.12 : 229.53 = 75.97 : x
  2. Step 2: Convert to fraction form
    153.12/229.53 = 75.97/x
  3. Step 3: Cross multiply
    153.12x = 229.53 × 75.97
  4. Step 4: Simplify right side
    153.12x = 17,435.87
  5. Step 5: Solve for x
    x = 17,435.87/153.12
  6. Step 6: Final answer
    x = 113.87

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Why These Related Problems?

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