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Finding the Fourth Proportional to 26.20, 36.14 and 21.88

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Solution

The fourth proportional to 26.20, 36.14 and 21.88 is: 30.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.20 : 36.14 = 21.88 : x
  2. Step 2: Convert to fraction form
    26.20/36.14 = 21.88/x
  3. Step 3: Cross multiply
    26.20x = 36.14 × 21.88
  4. Step 4: Simplify right side
    26.20x = 790.74
  5. Step 5: Solve for x
    x = 790.74/26.20
  6. Step 6: Final answer
    x = 30.18

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