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Finding the Fourth Proportional to 77.34, 106.69 and 44.57

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Solution

The fourth proportional to 77.34, 106.69 and 44.57 is: 61.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.34 : 106.69 = 44.57 : x
  2. Step 2: Convert to fraction form
    77.34/106.69 = 44.57/x
  3. Step 3: Cross multiply
    77.34x = 106.69 × 44.57
  4. Step 4: Simplify right side
    77.34x = 4,755.28
  5. Step 5: Solve for x
    x = 4,755.28/77.34
  6. Step 6: Final answer
    x = 61.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.