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Finding the Fourth Proportional to 19.65, 27.10 and 12.74

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Solution

The fourth proportional to 19.65, 27.10 and 12.74 is: 17.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.65 : 27.10 = 12.74 : x
  2. Step 2: Convert to fraction form
    19.65/27.10 = 12.74/x
  3. Step 3: Cross multiply
    19.65x = 27.10 × 12.74
  4. Step 4: Simplify right side
    19.65x = 345.29
  5. Step 5: Solve for x
    x = 345.29/19.65
  6. Step 6: Final answer
    x = 17.57

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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.