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Finding the Fourth Proportional to 114.90, 171.35 and 113.70

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Solution

The fourth proportional to 114.90, 171.35 and 113.70 is: 169.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.90 : 171.35 = 113.70 : x
  2. Step 2: Convert to fraction form
    114.90/171.35 = 113.70/x
  3. Step 3: Cross multiply
    114.90x = 171.35 × 113.70
  4. Step 4: Simplify right side
    114.90x = 19,481.93
  5. Step 5: Solve for x
    x = 19,481.93/114.90
  6. Step 6: Final answer
    x = 169.56

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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.