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Finding the Fourth Proportional to 26.75, 40.13 and 16.07

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Solution

The fourth proportional to 26.75, 40.13 and 16.07 is: 24.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.75 : 40.13 = 16.07 : x
  2. Step 2: Convert to fraction form
    26.75/40.13 = 16.07/x
  3. Step 3: Cross multiply
    26.75x = 40.13 × 16.07
  4. Step 4: Simplify right side
    26.75x = 644.89
  5. Step 5: Solve for x
    x = 644.89/26.75
  6. Step 6: Final answer
    x = 24.11

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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.