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Finding the Fourth Proportional to 153.31, 229.98 and 76.31

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Solution

The fourth proportional to 153.31, 229.98 and 76.31 is: 114.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.31 : 229.98 = 76.31 : x
  2. Step 2: Convert to fraction form
    153.31/229.98 = 76.31/x
  3. Step 3: Cross multiply
    153.31x = 229.98 × 76.31
  4. Step 4: Simplify right side
    153.31x = 17,549.77
  5. Step 5: Solve for x
    x = 17,549.77/153.31
  6. Step 6: Final answer
    x = 114.48

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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.