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Finding the Fourth Proportional to 26.17, 39.20 and 16.00

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Solution

The fourth proportional to 26.17, 39.20 and 16.00 is: 23.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.17 : 39.20 = 16.00 : x
  2. Step 2: Convert to fraction form
    26.17/39.20 = 16.00/x
  3. Step 3: Cross multiply
    26.17x = 39.20 × 16.00
  4. Step 4: Simplify right side
    26.17x = 627.02
  5. Step 5: Solve for x
    x = 627.02/26.17
  6. Step 6: Final answer
    x = 23.96

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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.