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Finding the Fourth Proportional to 51.74, 71.34 and 44.45

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Solution

The fourth proportional to 51.74, 71.34 and 44.45 is: 61.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.74 : 71.34 = 44.45 : x
  2. Step 2: Convert to fraction form
    51.74/71.34 = 44.45/x
  3. Step 3: Cross multiply
    51.74x = 71.34 × 44.45
  4. Step 4: Simplify right side
    51.74x = 3,170.71
  5. Step 5: Solve for x
    x = 3,170.71/51.74
  6. Step 6: Final answer
    x = 61.29

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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.