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Finding the Fourth Proportional to 27.65, 38.13 and 21.50

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Solution

The fourth proportional to 27.65, 38.13 and 21.50 is: 29.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.65 : 38.13 = 21.50 : x
  2. Step 2: Convert to fraction form
    27.65/38.13 = 21.50/x
  3. Step 3: Cross multiply
    27.65x = 38.13 × 21.50
  4. Step 4: Simplify right side
    27.65x = 819.67
  5. Step 5: Solve for x
    x = 819.67/27.65
  6. Step 6: Final answer
    x = 29.64

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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.