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Finding the Fourth Proportional to 44.64, 61.52 and 35.43

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Solution

The fourth proportional to 44.64, 61.52 and 35.43 is: 48.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.64 : 61.52 = 35.43 : x
  2. Step 2: Convert to fraction form
    44.64/61.52 = 35.43/x
  3. Step 3: Cross multiply
    44.64x = 61.52 × 35.43
  4. Step 4: Simplify right side
    44.64x = 2,179.48
  5. Step 5: Solve for x
    x = 2,179.48/44.64
  6. Step 6: Final answer
    x = 48.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.