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Finding the Fourth Proportional to 28.53, 39.42 and 27.45

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Solution

The fourth proportional to 28.53, 39.42 and 27.45 is: 37.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.53 : 39.42 = 27.45 : x
  2. Step 2: Convert to fraction form
    28.53/39.42 = 27.45/x
  3. Step 3: Cross multiply
    28.53x = 39.42 × 27.45
  4. Step 4: Simplify right side
    28.53x = 1,082.08
  5. Step 5: Solve for x
    x = 1,082.08/28.53
  6. Step 6: Final answer
    x = 37.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.