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Finding the Fourth Proportional to 28.32, 42.65 and 27.69

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Solution

The fourth proportional to 28.32, 42.65 and 27.69 is: 41.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.32 : 42.65 = 27.69 : x
  2. Step 2: Convert to fraction form
    28.32/42.65 = 27.69/x
  3. Step 3: Cross multiply
    28.32x = 42.65 × 27.69
  4. Step 4: Simplify right side
    28.32x = 1,180.84
  5. Step 5: Solve for x
    x = 1,180.84/28.32
  6. Step 6: Final answer
    x = 41.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.