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Finding the Fourth Proportional to 34.12, 46.98 and 31.76

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Solution

The fourth proportional to 34.12, 46.98 and 31.76 is: 43.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.12 : 46.98 = 31.76 : x
  2. Step 2: Convert to fraction form
    34.12/46.98 = 31.76/x
  3. Step 3: Cross multiply
    34.12x = 46.98 × 31.76
  4. Step 4: Simplify right side
    34.12x = 1,492.08
  5. Step 5: Solve for x
    x = 1,492.08/34.12
  6. Step 6: Final answer
    x = 43.73

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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.