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Finding the Fourth Proportional to 31.68, 47.50 and 29.12

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Solution

The fourth proportional to 31.68, 47.50 and 29.12 is: 43.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.68 : 47.50 = 29.12 : x
  2. Step 2: Convert to fraction form
    31.68/47.50 = 29.12/x
  3. Step 3: Cross multiply
    31.68x = 47.50 × 29.12
  4. Step 4: Simplify right side
    31.68x = 1,383.25
  5. Step 5: Solve for x
    x = 1,383.25/31.68
  6. Step 6: Final answer
    x = 43.66

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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.