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Finding the Fourth Proportional to 31.06, 46.22 and 29.50

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Solution

The fourth proportional to 31.06, 46.22 and 29.50 is: 43.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.06 : 46.22 = 29.50 : x
  2. Step 2: Convert to fraction form
    31.06/46.22 = 29.50/x
  3. Step 3: Cross multiply
    31.06x = 46.22 × 29.50
  4. Step 4: Simplify right side
    31.06x = 1,363.49
  5. Step 5: Solve for x
    x = 1,363.49/31.06
  6. Step 6: Final answer
    x = 43.90

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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.