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Finding the Fourth Proportional to 234.01, 350.92 and 97.12

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Solution

The fourth proportional to 234.01, 350.92 and 97.12 is: 145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.01 : 350.92 = 97.12 : x
  2. Step 2: Convert to fraction form
    234.01/350.92 = 97.12/x
  3. Step 3: Cross multiply
    234.01x = 350.92 × 97.12
  4. Step 4: Simplify right side
    234.01x = 34,081.35
  5. Step 5: Solve for x
    x = 34,081.35/234.01
  6. Step 6: Final answer
    x = 145.64

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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.