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Finding the Fourth Proportional to 23.62, 35.13 and 23.38

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Solution

The fourth proportional to 23.62, 35.13 and 23.38 is: 34.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.62 : 35.13 = 23.38 : x
  2. Step 2: Convert to fraction form
    23.62/35.13 = 23.38/x
  3. Step 3: Cross multiply
    23.62x = 35.13 × 23.38
  4. Step 4: Simplify right side
    23.62x = 821.34
  5. Step 5: Solve for x
    x = 821.34/23.62
  6. Step 6: Final answer
    x = 34.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.