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Finding the Fourth Proportional to 76.50, 113.82 and 76.26

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Solution

The fourth proportional to 76.50, 113.82 and 76.26 is: 113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.50 : 113.82 = 76.26 : x
  2. Step 2: Convert to fraction form
    76.50/113.82 = 76.26/x
  3. Step 3: Cross multiply
    76.50x = 113.82 × 76.26
  4. Step 4: Simplify right side
    76.50x = 8,679.91
  5. Step 5: Solve for x
    x = 8,679.91/76.50
  6. Step 6: Final answer
    x = 113.46

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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.