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Finding the Fourth Proportional to 114.69, 171.15 and 113.97

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Solution

The fourth proportional to 114.69, 171.15 and 113.97 is: 170.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.69 : 171.15 = 113.97 : x
  2. Step 2: Convert to fraction form
    114.69/171.15 = 113.97/x
  3. Step 3: Cross multiply
    114.69x = 171.15 × 113.97
  4. Step 4: Simplify right side
    114.69x = 19,505.97
  5. Step 5: Solve for x
    x = 19,505.97/114.69
  6. Step 6: Final answer
    x = 170.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.