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Finding the Fourth Proportional to 44.76, 66.82 and 41.96

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Solution

The fourth proportional to 44.76, 66.82 and 41.96 is: 62.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.76 : 66.82 = 41.96 : x
  2. Step 2: Convert to fraction form
    44.76/66.82 = 41.96/x
  3. Step 3: Cross multiply
    44.76x = 66.82 × 41.96
  4. Step 4: Simplify right side
    44.76x = 2,803.77
  5. Step 5: Solve for x
    x = 2,803.77/44.76
  6. Step 6: Final answer
    x = 62.64

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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.