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Finding the Fourth Proportional to 26.18, 36.05 and 22.72

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Solution

The fourth proportional to 26.18, 36.05 and 22.72 is: 31.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.18 : 36.05 = 22.72 : x
  2. Step 2: Convert to fraction form
    26.18/36.05 = 22.72/x
  3. Step 3: Cross multiply
    26.18x = 36.05 × 22.72
  4. Step 4: Simplify right side
    26.18x = 818.76
  5. Step 5: Solve for x
    x = 818.76/26.18
  6. Step 6: Final answer
    x = 31.28

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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.