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Finding the Fourth Proportional to 65.06, 97.61 and 34.61

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Solution

The fourth proportional to 65.06, 97.61 and 34.61 is: 51.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.06 : 97.61 = 34.61 : x
  2. Step 2: Convert to fraction form
    65.06/97.61 = 34.61/x
  3. Step 3: Cross multiply
    65.06x = 97.61 × 34.61
  4. Step 4: Simplify right side
    65.06x = 3,377.62
  5. Step 5: Solve for x
    x = 3,377.62/65.06
  6. Step 6: Final answer
    x = 51.92

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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.