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Finding the Fourth Proportional to 53.60, 80.42 and 39.16

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Solution

The fourth proportional to 53.60, 80.42 and 39.16 is: 58.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.60 : 80.42 = 39.16 : x
  2. Step 2: Convert to fraction form
    53.60/80.42 = 39.16/x
  3. Step 3: Cross multiply
    53.60x = 80.42 × 39.16
  4. Step 4: Simplify right side
    53.60x = 3,149.25
  5. Step 5: Solve for x
    x = 3,149.25/53.60
  6. Step 6: Final answer
    x = 58.75

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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.