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Finding the Fourth Proportional to 23.79, 32.40 and 23.38

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Solution

The fourth proportional to 23.79, 32.40 and 23.38 is: 31.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.79 : 32.40 = 23.38 : x
  2. Step 2: Convert to fraction form
    23.79/32.40 = 23.38/x
  3. Step 3: Cross multiply
    23.79x = 32.40 × 23.38
  4. Step 4: Simplify right side
    23.79x = 757.23
  5. Step 5: Solve for x
    x = 757.23/23.79
  6. Step 6: Final answer
    x = 31.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.