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Finding the Fourth Proportional to 234.42, 351.70 and 72.10

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Solution

The fourth proportional to 234.42, 351.70 and 72.10 is: 108.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.42 : 351.70 = 72.10 : x
  2. Step 2: Convert to fraction form
    234.42/351.70 = 72.10/x
  3. Step 3: Cross multiply
    234.42x = 351.70 × 72.10
  4. Step 4: Simplify right side
    234.42x = 25,357.57
  5. Step 5: Solve for x
    x = 25,357.57/234.42
  6. Step 6: Final answer
    x = 108.17

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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.