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Finding the Fourth Proportional to 114.62, 171.96 and 83.50

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Solution

The fourth proportional to 114.62, 171.96 and 83.50 is: 125.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.62 : 171.96 = 83.50 : x
  2. Step 2: Convert to fraction form
    114.62/171.96 = 83.50/x
  3. Step 3: Cross multiply
    114.62x = 171.96 × 83.50
  4. Step 4: Simplify right side
    114.62x = 14,358.56
  5. Step 5: Solve for x
    x = 14,358.56/114.62
  6. Step 6: Final answer
    x = 125.27

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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.