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Finding the Fourth Proportional to 114.32, 171.38 and 75.82

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Solution

The fourth proportional to 114.32, 171.38 and 75.82 is: 113.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.32 : 171.38 = 75.82 : x
  2. Step 2: Convert to fraction form
    114.32/171.38 = 75.82/x
  3. Step 3: Cross multiply
    114.32x = 171.38 × 75.82
  4. Step 4: Simplify right side
    114.32x = 12,994.03
  5. Step 5: Solve for x
    x = 12,994.03/114.32
  6. Step 6: Final answer
    x = 113.66

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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.