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Finding the Fourth Proportional to 27.65, 41.42 and 16.80

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Solution

The fourth proportional to 27.65, 41.42 and 16.80 is: 25.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.65 : 41.42 = 16.80 : x
  2. Step 2: Convert to fraction form
    27.65/41.42 = 16.80/x
  3. Step 3: Cross multiply
    27.65x = 41.42 × 16.80
  4. Step 4: Simplify right side
    27.65x = 695.77
  5. Step 5: Solve for x
    x = 695.77/27.65
  6. Step 6: Final answer
    x = 25.17

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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.