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Finding the Fourth Proportional to 23.12, 31.91 and 23.06

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Solution

The fourth proportional to 23.12, 31.91 and 23.06 is: 31.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.12 : 31.91 = 23.06 : x
  2. Step 2: Convert to fraction form
    23.12/31.91 = 23.06/x
  3. Step 3: Cross multiply
    23.12x = 31.91 × 23.06
  4. Step 4: Simplify right side
    23.12x = 735.75
  5. Step 5: Solve for x
    x = 735.75/23.12
  6. Step 6: Final answer
    x = 31.82

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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.