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Finding the Fourth Proportional to 77.17, 106.51 and 44.44

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Solution

The fourth proportional to 77.17, 106.51 and 44.44 is: 61.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.17 : 106.51 = 44.44 : x
  2. Step 2: Convert to fraction form
    77.17/106.51 = 44.44/x
  3. Step 3: Cross multiply
    77.17x = 106.51 × 44.44
  4. Step 4: Simplify right side
    77.17x = 4,733.43
  5. Step 5: Solve for x
    x = 4,733.43/77.17
  6. Step 6: Final answer
    x = 61.34

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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.