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Finding the Fourth Proportional to 114.26, 171.50 and 97.25

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Solution

The fourth proportional to 114.26, 171.50 and 97.25 is: 145.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.26 : 171.50 = 97.25 : x
  2. Step 2: Convert to fraction form
    114.26/171.50 = 97.25/x
  3. Step 3: Cross multiply
    114.26x = 171.50 × 97.25
  4. Step 4: Simplify right side
    114.26x = 16,677.03
  5. Step 5: Solve for x
    x = 16,677.03/114.26
  6. Step 6: Final answer
    x = 145.96

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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.