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Finding the Fourth Proportional to 114.39, 171.33 and 105.96

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Solution

The fourth proportional to 114.39, 171.33 and 105.96 is: 158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.39 : 171.33 = 105.96 : x
  2. Step 2: Convert to fraction form
    114.39/171.33 = 105.96/x
  3. Step 3: Cross multiply
    114.39x = 171.33 × 105.96
  4. Step 4: Simplify right side
    114.39x = 18,154.13
  5. Step 5: Solve for x
    x = 18,154.13/114.39
  6. Step 6: Final answer
    x = 158.70

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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.