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Finding the Fourth Proportional to 76.42, 114.68 and 75.82

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Solution

The fourth proportional to 76.42, 114.68 and 75.82 is: 113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.42 : 114.68 = 75.82 : x
  2. Step 2: Convert to fraction form
    76.42/114.68 = 75.82/x
  3. Step 3: Cross multiply
    76.42x = 114.68 × 75.82
  4. Step 4: Simplify right side
    76.42x = 8,695.04
  5. Step 5: Solve for x
    x = 8,695.04/76.42
  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.