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Finding the Fourth Proportional to 97.06, 146.12 and 66.83

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Solution

The fourth proportional to 97.06, 146.12 and 66.83 is: 100.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.06 : 146.12 = 66.83 : x
  2. Step 2: Convert to fraction form
    97.06/146.12 = 66.83/x
  3. Step 3: Cross multiply
    97.06x = 146.12 × 66.83
  4. Step 4: Simplify right side
    97.06x = 9,764.51
  5. Step 5: Solve for x
    x = 9,764.51/97.06
  6. Step 6: Final answer
    x = 100.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.