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Finding the Fourth Proportional to 21.65, 32.48 and 17.42

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Solution

The fourth proportional to 21.65, 32.48 and 17.42 is: 26.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.65 : 32.48 = 17.42 : x
  2. Step 2: Convert to fraction form
    21.65/32.48 = 17.42/x
  3. Step 3: Cross multiply
    21.65x = 32.48 × 17.42
  4. Step 4: Simplify right side
    21.65x = 565.68
  5. Step 5: Solve for x
    x = 565.68/21.65
  6. Step 6: Final answer
    x = 26.13

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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.