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Finding the Fourth Proportional to 34.12, 46.98 and 30.68

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Solution

The fourth proportional to 34.12, 46.98 and 30.68 is: 42.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.12 : 46.98 = 30.68 : x
  2. Step 2: Convert to fraction form
    34.12/46.98 = 30.68/x
  3. Step 3: Cross multiply
    34.12x = 46.98 × 30.68
  4. Step 4: Simplify right side
    34.12x = 1,441.35
  5. Step 5: Solve for x
    x = 1,441.35/34.12
  6. Step 6: Final answer
    x = 42.24

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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.