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Finding the Fourth Proportional to 35.17, 52.81 and 23.78

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Solution

The fourth proportional to 35.17, 52.81 and 23.78 is: 35.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.17 : 52.81 = 23.78 : x
  2. Step 2: Convert to fraction form
    35.17/52.81 = 23.78/x
  3. Step 3: Cross multiply
    35.17x = 52.81 × 23.78
  4. Step 4: Simplify right side
    35.17x = 1,255.82
  5. Step 5: Solve for x
    x = 1,255.82/35.17
  6. Step 6: Final answer
    x = 35.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.