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Finding the Fourth Proportional to 26.16, 36.12 and 21.78

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Solution

The fourth proportional to 26.16, 36.12 and 21.78 is: 30.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.16 : 36.12 = 21.78 : x
  2. Step 2: Convert to fraction form
    26.16/36.12 = 21.78/x
  3. Step 3: Cross multiply
    26.16x = 36.12 × 21.78
  4. Step 4: Simplify right side
    26.16x = 786.69
  5. Step 5: Solve for x
    x = 786.69/26.16
  6. Step 6: Final answer
    x = 30.07

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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.