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Finding the Fourth Proportional to 26.61, 39.89 and 20.16

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Solution

The fourth proportional to 26.61, 39.89 and 20.16 is: 30.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.61 : 39.89 = 20.16 : x
  2. Step 2: Convert to fraction form
    26.61/39.89 = 20.16/x
  3. Step 3: Cross multiply
    26.61x = 39.89 × 20.16
  4. Step 4: Simplify right side
    26.61x = 804.08
  5. Step 5: Solve for x
    x = 804.08/26.61
  6. Step 6: Final answer
    x = 30.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.