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Finding the Fourth Proportional to 31.52, 43.40 and 29.70

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Solution

The fourth proportional to 31.52, 43.40 and 29.70 is: 40.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.52 : 43.40 = 29.70 : x
  2. Step 2: Convert to fraction form
    31.52/43.40 = 29.70/x
  3. Step 3: Cross multiply
    31.52x = 43.40 × 29.70
  4. Step 4: Simplify right side
    31.52x = 1,288.98
  5. Step 5: Solve for x
    x = 1,288.98/31.52
  6. Step 6: Final answer
    x = 40.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.