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Finding the Fourth Proportional to 114.26, 171.33 and 106.35

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Solution

The fourth proportional to 114.26, 171.33 and 106.35 is: 159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.26 : 171.33 = 106.35 : x
  2. Step 2: Convert to fraction form
    114.26/171.33 = 106.35/x
  3. Step 3: Cross multiply
    114.26x = 171.33 × 106.35
  4. Step 4: Simplify right side
    114.26x = 18,220.95
  5. Step 5: Solve for x
    x = 18,220.95/114.26
  6. Step 6: Final answer
    x = 159.48

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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.