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Finding the Fourth Proportional to 31.13, 46.39 and 29.51

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Solution

The fourth proportional to 31.13, 46.39 and 29.51 is: 43.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.13 : 46.39 = 29.51 : x
  2. Step 2: Convert to fraction form
    31.13/46.39 = 29.51/x
  3. Step 3: Cross multiply
    31.13x = 46.39 × 29.51
  4. Step 4: Simplify right side
    31.13x = 1,368.61
  5. Step 5: Solve for x
    x = 1,368.61/31.13
  6. Step 6: Final answer
    x = 43.97

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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.