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Finding the Fourth Proportional to 29.28, 40.16 and 27.04

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Solution

The fourth proportional to 29.28, 40.16 and 27.04 is: 37.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.28 : 40.16 = 27.04 : x
  2. Step 2: Convert to fraction form
    29.28/40.16 = 27.04/x
  3. Step 3: Cross multiply
    29.28x = 40.16 × 27.04
  4. Step 4: Simplify right side
    29.28x = 1,085.93
  5. Step 5: Solve for x
    x = 1,085.93/29.28
  6. Step 6: Final answer
    x = 37.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.