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Finding the Fourth Proportional to 21.83, 32.72 and 11.66

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Solution

The fourth proportional to 21.83, 32.72 and 11.66 is: 17.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.83 : 32.72 = 11.66 : x
  2. Step 2: Convert to fraction form
    21.83/32.72 = 11.66/x
  3. Step 3: Cross multiply
    21.83x = 32.72 × 11.66
  4. Step 4: Simplify right side
    21.83x = 381.29
  5. Step 5: Solve for x
    x = 381.29/21.83
  6. Step 6: Final answer
    x = 17.47

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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.