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Finding the Fourth Proportional to 35.11, 48.14 and 34.12

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Solution

The fourth proportional to 35.11, 48.14 and 34.12 is: 46.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.11 : 48.14 = 34.12 : x
  2. Step 2: Convert to fraction form
    35.11/48.14 = 34.12/x
  3. Step 3: Cross multiply
    35.11x = 48.14 × 34.12
  4. Step 4: Simplify right side
    35.11x = 1,642.54
  5. Step 5: Solve for x
    x = 1,642.54/35.11
  6. Step 6: Final answer
    x = 46.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.