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Finding the Fourth Proportional to 23.10, 32.03 and 21.76

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Solution

The fourth proportional to 23.10, 32.03 and 21.76 is: 30.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.10 : 32.03 = 21.76 : x
  2. Step 2: Convert to fraction form
    23.10/32.03 = 21.76/x
  3. Step 3: Cross multiply
    23.10x = 32.03 × 21.76
  4. Step 4: Simplify right side
    23.10x = 696.97
  5. Step 5: Solve for x
    x = 696.97/23.10
  6. Step 6: Final answer
    x = 30.17

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Why These Related Problems?

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