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Finding the Fourth Proportional to 53.42, 80.12 and 31.75

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Solution

The fourth proportional to 53.42, 80.12 and 31.75 is: 47.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.42 : 80.12 = 31.75 : x
  2. Step 2: Convert to fraction form
    53.42/80.12 = 31.75/x
  3. Step 3: Cross multiply
    53.42x = 80.12 × 31.75
  4. Step 4: Simplify right side
    53.42x = 2,543.69
  5. Step 5: Solve for x
    x = 2,543.69/53.42
  6. Step 6: Final answer
    x = 47.62

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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.