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Finding the Fourth Proportional to 28, 42.24 and 27.72

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Solution

The fourth proportional to 28, 42.24 and 27.72 is: 41.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28 : 42.24 = 27.72 : x
  2. Step 2: Convert to fraction form
    28/42.24 = 27.72/x
  3. Step 3: Cross multiply
    28x = 42.24 × 27.72
  4. Step 4: Simplify right side
    28x = 1,170.89
  5. Step 5: Solve for x
    x = 1,170.89/28
  6. Step 6: Final answer
    x = 41.82

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