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Finding the Fourth Proportional to 114.71, 171.53 and 83.96

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Solution

The fourth proportional to 114.71, 171.53 and 83.96 is: 125.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.71 : 171.53 = 83.96 : x
  2. Step 2: Convert to fraction form
    114.71/171.53 = 83.96/x
  3. Step 3: Cross multiply
    114.71x = 171.53 × 83.96
  4. Step 4: Simplify right side
    114.71x = 14,400.38
  5. Step 5: Solve for x
    x = 14,400.38/114.71
  6. Step 6: Final answer
    x = 125.54

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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.