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Finding the Fourth Proportional to 114.06, 171.26 and 75.78

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Solution

The fourth proportional to 114.06, 171.26 and 75.78 is: 113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.06 : 171.26 = 75.78 : x
  2. Step 2: Convert to fraction form
    114.06/171.26 = 75.78/x
  3. Step 3: Cross multiply
    114.06x = 171.26 × 75.78
  4. Step 4: Simplify right side
    114.06x = 12,978.08
  5. Step 5: Solve for x
    x = 12,978.08/114.06
  6. Step 6: Final answer
    x = 113.78

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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.