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Finding the Fourth Proportional to 44.64, 61.17 and 42.96

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Solution

The fourth proportional to 44.64, 61.17 and 42.96 is: 58.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.64 : 61.17 = 42.96 : x
  2. Step 2: Convert to fraction form
    44.64/61.17 = 42.96/x
  3. Step 3: Cross multiply
    44.64x = 61.17 × 42.96
  4. Step 4: Simplify right side
    44.64x = 2,627.86
  5. Step 5: Solve for x
    x = 2,627.86/44.64
  6. Step 6: Final answer
    x = 58.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.