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Finding the Fourth Proportional to 76.34, 113.82 and 70.31

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Solution

The fourth proportional to 76.34, 113.82 and 70.31 is: 104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.34 : 113.82 = 70.31 : x
  2. Step 2: Convert to fraction form
    76.34/113.82 = 70.31/x
  3. Step 3: Cross multiply
    76.34x = 113.82 × 70.31
  4. Step 4: Simplify right side
    76.34x = 8,002.68
  5. Step 5: Solve for x
    x = 8,002.68/76.34
  6. Step 6: Final answer
    x = 104.83

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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.