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Finding the Fourth Proportional to 44.46, 61.30 and 32.82

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Solution

The fourth proportional to 44.46, 61.30 and 32.82 is: 45.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.46 : 61.30 = 32.82 : x
  2. Step 2: Convert to fraction form
    44.46/61.30 = 32.82/x
  3. Step 3: Cross multiply
    44.46x = 61.30 × 32.82
  4. Step 4: Simplify right side
    44.46x = 2,011.87
  5. Step 5: Solve for x
    x = 2,011.87/44.46
  6. Step 6: Final answer
    x = 45.25

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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.