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Finding the Fourth Proportional to 27.65, 41.11 and 26.98

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Solution

The fourth proportional to 27.65, 41.11 and 26.98 is: 40.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.65 : 41.11 = 26.98 : x
  2. Step 2: Convert to fraction form
    27.65/41.11 = 26.98/x
  3. Step 3: Cross multiply
    27.65x = 41.11 × 26.98
  4. Step 4: Simplify right side
    27.65x = 1,109.15
  5. Step 5: Solve for x
    x = 1,109.15/27.65
  6. Step 6: Final answer
    x = 40.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.