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Finding the Fourth Proportional to 27.65, 38.12 and 27.07

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Solution

The fourth proportional to 27.65, 38.12 and 27.07 is: 37.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.65 : 38.12 = 27.07 : x
  2. Step 2: Convert to fraction form
    27.65/38.12 = 27.07/x
  3. Step 3: Cross multiply
    27.65x = 38.12 × 27.07
  4. Step 4: Simplify right side
    27.65x = 1,031.91
  5. Step 5: Solve for x
    x = 1,031.91/27.65
  6. Step 6: Final answer
    x = 37.32

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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.