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Finding the Fourth Proportional to 23.10, 32.06 and 21.66

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Solution

The fourth proportional to 23.10, 32.06 and 21.66 is: 30.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.10 : 32.06 = 21.66 : x
  2. Step 2: Convert to fraction form
    23.10/32.06 = 21.66/x
  3. Step 3: Cross multiply
    23.10x = 32.06 × 21.66
  4. Step 4: Simplify right side
    23.10x = 694.31
  5. Step 5: Solve for x
    x = 694.31/23.10
  6. Step 6: Final answer
    x = 30.06

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.