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Finding the Fourth Proportional to 261.01, 391.31 and 106.97

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Solution

The fourth proportional to 261.01, 391.31 and 106.97 is: 160.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.01 : 391.31 = 106.97 : x
  2. Step 2: Convert to fraction form
    261.01/391.31 = 106.97/x
  3. Step 3: Cross multiply
    261.01x = 391.31 × 106.97
  4. Step 4: Simplify right side
    261.01x = 41,859.28
  5. Step 5: Solve for x
    x = 41,859.28/261.01
  6. Step 6: Final answer
    x = 160.38

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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.