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Finding the Fourth Proportional to 29.85, 41.13 and 26.12

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Solution

The fourth proportional to 29.85, 41.13 and 26.12 is: 35.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.85 : 41.13 = 26.12 : x
  2. Step 2: Convert to fraction form
    29.85/41.13 = 26.12/x
  3. Step 3: Cross multiply
    29.85x = 41.13 × 26.12
  4. Step 4: Simplify right side
    29.85x = 1,074.11
  5. Step 5: Solve for x
    x = 1,074.11/29.85
  6. Step 6: Final answer
    x = 35.98

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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.