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Finding the Fourth Proportional to 31.19, 43.10 and 29.79

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Solution

The fourth proportional to 31.19, 43.10 and 29.79 is: 41.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.19 : 43.10 = 29.79 : x
  2. Step 2: Convert to fraction form
    31.19/43.10 = 29.79/x
  3. Step 3: Cross multiply
    31.19x = 43.10 × 29.79
  4. Step 4: Simplify right side
    31.19x = 1,283.95
  5. Step 5: Solve for x
    x = 1,283.95/31.19
  6. Step 6: Final answer
    x = 41.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.