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Finding the Fourth Proportional to 31.46, 46.92 and 29.74

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Solution

The fourth proportional to 31.46, 46.92 and 29.74 is: 44.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.46 : 46.92 = 29.74 : x
  2. Step 2: Convert to fraction form
    31.46/46.92 = 29.74/x
  3. Step 3: Cross multiply
    31.46x = 46.92 × 29.74
  4. Step 4: Simplify right side
    31.46x = 1,395.40
  5. Step 5: Solve for x
    x = 1,395.40/31.46
  6. Step 6: Final answer
    x = 44.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.