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Finding the Fourth Proportional to 31.03, 46.78 and 29.32

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Solution

The fourth proportional to 31.03, 46.78 and 29.32 is: 44.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.03 : 46.78 = 29.32 : x
  2. Step 2: Convert to fraction form
    31.03/46.78 = 29.32/x
  3. Step 3: Cross multiply
    31.03x = 46.78 × 29.32
  4. Step 4: Simplify right side
    31.03x = 1,371.59
  5. Step 5: Solve for x
    x = 1,371.59/31.03
  6. Step 6: Final answer
    x = 44.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.