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Finding the Fourth Proportional to 29.64, 44.14 and 28.68

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Solution

The fourth proportional to 29.64, 44.14 and 28.68 is: 42.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.64 : 44.14 = 28.68 : x
  2. Step 2: Convert to fraction form
    29.64/44.14 = 28.68/x
  3. Step 3: Cross multiply
    29.64x = 44.14 × 28.68
  4. Step 4: Simplify right side
    29.64x = 1,265.94
  5. Step 5: Solve for x
    x = 1,265.94/29.64
  6. Step 6: Final answer
    x = 42.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.