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Finding the Fourth Proportional to 173.31, 239.15 and 106.90

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Solution

The fourth proportional to 173.31, 239.15 and 106.90 is: 147.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.31 : 239.15 = 106.90 : x
  2. Step 2: Convert to fraction form
    173.31/239.15 = 106.90/x
  3. Step 3: Cross multiply
    173.31x = 239.15 × 106.90
  4. Step 4: Simplify right side
    173.31x = 25,566.15
  5. Step 5: Solve for x
    x = 25,566.15/173.31
  6. Step 6: Final answer
    x = 147.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.