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Finding the Fourth Proportional to 23.13, 32.09 and 22.93

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Solution

The fourth proportional to 23.13, 32.09 and 22.93 is: 31.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.13 : 32.09 = 22.93 : x
  2. Step 2: Convert to fraction form
    23.13/32.09 = 22.93/x
  3. Step 3: Cross multiply
    23.13x = 32.09 × 22.93
  4. Step 4: Simplify right side
    23.13x = 735.82
  5. Step 5: Solve for x
    x = 735.82/23.13
  6. Step 6: Final answer
    x = 31.81

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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.