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Finding the Fourth Proportional to 26.28, 39.16 and 24.24

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Solution

The fourth proportional to 26.28, 39.16 and 24.24 is: 36.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.28 : 39.16 = 24.24 : x
  2. Step 2: Convert to fraction form
    26.28/39.16 = 24.24/x
  3. Step 3: Cross multiply
    26.28x = 39.16 × 24.24
  4. Step 4: Simplify right side
    26.28x = 949.24
  5. Step 5: Solve for x
    x = 949.24/26.28
  6. Step 6: Final answer
    x = 36.12

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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.