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Finding the Fourth Proportional to 76.35, 113.66 and 75.90

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Solution

The fourth proportional to 76.35, 113.66 and 75.90 is: 112.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.35 : 113.66 = 75.90 : x
  2. Step 2: Convert to fraction form
    76.35/113.66 = 75.90/x
  3. Step 3: Cross multiply
    76.35x = 113.66 × 75.90
  4. Step 4: Simplify right side
    76.35x = 8,626.98
  5. Step 5: Solve for x
    x = 8,626.98/76.35
  6. Step 6: Final answer
    x = 112.99

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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.