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Finding the Fourth Proportional to 21.71, 32.50 and 14.09

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Solution

The fourth proportional to 21.71, 32.50 and 14.09 is: 21.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.71 : 32.50 = 14.09 : x
  2. Step 2: Convert to fraction form
    21.71/32.50 = 14.09/x
  3. Step 3: Cross multiply
    21.71x = 32.50 × 14.09
  4. Step 4: Simplify right side
    21.71x = 457.73
  5. Step 5: Solve for x
    x = 457.73/21.71
  6. Step 6: Final answer
    x = 21.08

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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.