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Finding the Fourth Proportional to 77.34, 116.00 and 29.25

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Solution

The fourth proportional to 77.34, 116.00 and 29.25 is: 43.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.34 : 116.00 = 29.25 : x
  2. Step 2: Convert to fraction form
    77.34/116.00 = 29.25/x
  3. Step 3: Cross multiply
    77.34x = 116.00 × 29.25
  4. Step 4: Simplify right side
    77.34x = 3,392.85
  5. Step 5: Solve for x
    x = 3,392.85/77.34
  6. Step 6: Final answer
    x = 43.87

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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.