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Finding the Fourth Proportional to 45.74, 68.22 and 44.70

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Solution

The fourth proportional to 45.74, 68.22 and 44.70 is: 66.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.74 : 68.22 = 44.70 : x
  2. Step 2: Convert to fraction form
    45.74/68.22 = 44.70/x
  3. Step 3: Cross multiply
    45.74x = 68.22 × 44.70
  4. Step 4: Simplify right side
    45.74x = 3,049.21
  5. Step 5: Solve for x
    x = 3,049.21/45.74
  6. Step 6: Final answer
    x = 66.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.