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Finding the Fourth Proportional to 29.52, 44.14 and 28.13

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Solution

The fourth proportional to 29.52, 44.14 and 28.13 is: 42.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.52 : 44.14 = 28.13 : x
  2. Step 2: Convert to fraction form
    29.52/44.14 = 28.13/x
  3. Step 3: Cross multiply
    29.52x = 44.14 × 28.13
  4. Step 4: Simplify right side
    29.52x = 1,241.66
  5. Step 5: Solve for x
    x = 1,241.66/29.52
  6. Step 6: Final answer
    x = 42.06

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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.