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Finding the Fourth Proportional to 153.46, 229.90 and 76.31

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Solution

The fourth proportional to 153.46, 229.90 and 76.31 is: 114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.46 : 229.90 = 76.31 : x
  2. Step 2: Convert to fraction form
    153.46/229.90 = 76.31/x
  3. Step 3: Cross multiply
    153.46x = 229.90 × 76.31
  4. Step 4: Simplify right side
    153.46x = 17,542.14
  5. Step 5: Solve for x
    x = 17,542.14/153.46
  6. Step 6: Final answer
    x = 114.31

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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.