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Finding the Fourth Proportional to 26.46, 36.54 and 16.78

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Solution

The fourth proportional to 26.46, 36.54 and 16.78 is: 23.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.46 : 36.54 = 16.78 : x
  2. Step 2: Convert to fraction form
    26.46/36.54 = 16.78/x
  3. Step 3: Cross multiply
    26.46x = 36.54 × 16.78
  4. Step 4: Simplify right side
    26.46x = 613.14
  5. Step 5: Solve for x
    x = 613.14/26.46
  6. Step 6: Final answer
    x = 23.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.