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Finding the Fourth Proportional to 31.13, 46.34 and 29.84

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Solution

The fourth proportional to 31.13, 46.34 and 29.84 is: 44.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.13 : 46.34 = 29.84 : x
  2. Step 2: Convert to fraction form
    31.13/46.34 = 29.84/x
  3. Step 3: Cross multiply
    31.13x = 46.34 × 29.84
  4. Step 4: Simplify right side
    31.13x = 1,382.40
  5. Step 5: Solve for x
    x = 1,382.40/31.13
  6. Step 6: Final answer
    x = 44.41

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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.