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Finding the Fourth Proportional to 114.31, 171.36 and 71

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Solution

The fourth proportional to 114.31, 171.36 and 71 is: 106.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.31 : 171.36 = 71 : x
  2. Step 2: Convert to fraction form
    114.31/171.36 = 71/x
  3. Step 3: Cross multiply
    114.31x = 171.36 × 71
  4. Step 4: Simplify right side
    114.31x = 12,166.56
  5. Step 5: Solve for x
    x = 12,166.56/114.31
  6. Step 6: Final answer
    x = 106.43

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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.