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Finding the Fourth Proportional to 232.06, 348.09 and 61.06

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Solution

The fourth proportional to 232.06, 348.09 and 61.06 is: 91.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.06 : 348.09 = 61.06 : x
  2. Step 2: Convert to fraction form
    232.06/348.09 = 61.06/x
  3. Step 3: Cross multiply
    232.06x = 348.09 × 61.06
  4. Step 4: Simplify right side
    232.06x = 21,254.38
  5. Step 5: Solve for x
    x = 21,254.38/232.06
  6. Step 6: Final answer
    x = 91.59

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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.