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Finding the Fourth Proportional to 23.83, 32.86 and 16.06

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Solution

The fourth proportional to 23.83, 32.86 and 16.06 is: 22.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.83 : 32.86 = 16.06 : x
  2. Step 2: Convert to fraction form
    23.83/32.86 = 16.06/x
  3. Step 3: Cross multiply
    23.83x = 32.86 × 16.06
  4. Step 4: Simplify right side
    23.83x = 527.57
  5. Step 5: Solve for x
    x = 527.57/23.83
  6. Step 6: Final answer
    x = 22.14

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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.