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Finding the Fourth Proportional to 21.72, 32.57 and 14.08

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Solution

The fourth proportional to 21.72, 32.57 and 14.08 is: 21.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.72 : 32.57 = 14.08 : x
  2. Step 2: Convert to fraction form
    21.72/32.57 = 14.08/x
  3. Step 3: Cross multiply
    21.72x = 32.57 × 14.08
  4. Step 4: Simplify right side
    21.72x = 458.59
  5. Step 5: Solve for x
    x = 458.59/21.72
  6. Step 6: Final answer
    x = 21.11

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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.