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Finding the Fourth Proportional to 29.85, 41.18 and 22.56

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Solution

The fourth proportional to 29.85, 41.18 and 22.56 is: 31.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.85 : 41.18 = 22.56 : x
  2. Step 2: Convert to fraction form
    29.85/41.18 = 22.56/x
  3. Step 3: Cross multiply
    29.85x = 41.18 × 22.56
  4. Step 4: Simplify right side
    29.85x = 929.02
  5. Step 5: Solve for x
    x = 929.02/29.85
  6. Step 6: Final answer
    x = 31.12

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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.