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Finding the Fourth Proportional to 31.67, 47.50 and 14.32

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Solution

The fourth proportional to 31.67, 47.50 and 14.32 is: 21.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.67 : 47.50 = 14.32 : x
  2. Step 2: Convert to fraction form
    31.67/47.50 = 14.32/x
  3. Step 3: Cross multiply
    31.67x = 47.50 × 14.32
  4. Step 4: Simplify right side
    31.67x = 680.20
  5. Step 5: Solve for x
    x = 680.20/31.67
  6. Step 6: Final answer
    x = 21.48

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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.