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Finding the Fourth Proportional to 77.34, 116.07 and 29.25

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Solution

The fourth proportional to 77.34, 116.07 and 29.25 is: 43.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.34 : 116.07 = 29.25 : x
  2. Step 2: Convert to fraction form
    77.34/116.07 = 29.25/x
  3. Step 3: Cross multiply
    77.34x = 116.07 × 29.25
  4. Step 4: Simplify right side
    77.34x = 3,394.94
  5. Step 5: Solve for x
    x = 3,394.94/77.34
  6. Step 6: Final answer
    x = 43.89

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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.