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Finding the Fourth Proportional to 29.85, 44.81 and 23.14

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Solution

The fourth proportional to 29.85, 44.81 and 23.14 is: 34.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.85 : 44.81 = 23.14 : x
  2. Step 2: Convert to fraction form
    29.85/44.81 = 23.14/x
  3. Step 3: Cross multiply
    29.85x = 44.81 × 23.14
  4. Step 4: Simplify right side
    29.85x = 1,036.90
  5. Step 5: Solve for x
    x = 1,036.90/29.85
  6. Step 6: Final answer
    x = 34.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.