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Finding the Fourth Proportional to 67.54, 101.32 and 31.48

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Solution

The fourth proportional to 67.54, 101.32 and 31.48 is: 47.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.54 : 101.32 = 31.48 : x
  2. Step 2: Convert to fraction form
    67.54/101.32 = 31.48/x
  3. Step 3: Cross multiply
    67.54x = 101.32 × 31.48
  4. Step 4: Simplify right side
    67.54x = 3,189.55
  5. Step 5: Solve for x
    x = 3,189.55/67.54
  6. Step 6: Final answer
    x = 47.22

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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.