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Finding the Fourth Proportional to 57.44, 86 and 55.60

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Solution

The fourth proportional to 57.44, 86 and 55.60 is: 83.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.44 : 86 = 55.60 : x
  2. Step 2: Convert to fraction form
    57.44/86 = 55.60/x
  3. Step 3: Cross multiply
    57.44x = 86 × 55.60
  4. Step 4: Simplify right side
    57.44x = 4,781.60
  5. Step 5: Solve for x
    x = 4,781.60/57.44
  6. Step 6: Final answer
    x = 83.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.