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Finding the Fourth Proportional to 27.70, 41.56 and 26.22

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Solution

The fourth proportional to 27.70, 41.56 and 26.22 is: 39.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.70 : 41.56 = 26.22 : x
  2. Step 2: Convert to fraction form
    27.70/41.56 = 26.22/x
  3. Step 3: Cross multiply
    27.70x = 41.56 × 26.22
  4. Step 4: Simplify right side
    27.70x = 1,089.70
  5. Step 5: Solve for x
    x = 1,089.70/27.70
  6. Step 6: Final answer
    x = 39.34

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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.