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Finding the Fourth Proportional to 35.38, 48.81 and 34.66

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Solution

The fourth proportional to 35.38, 48.81 and 34.66 is: 47.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.38 : 48.81 = 34.66 : x
  2. Step 2: Convert to fraction form
    35.38/48.81 = 34.66/x
  3. Step 3: Cross multiply
    35.38x = 48.81 × 34.66
  4. Step 4: Simplify right side
    35.38x = 1,691.75
  5. Step 5: Solve for x
    x = 1,691.75/35.38
  6. Step 6: Final answer
    x = 47.82

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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.