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Finding the Fourth Proportional to 105.92, 146.16 and 61.66

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Solution

The fourth proportional to 105.92, 146.16 and 61.66 is: 85.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.92 : 146.16 = 61.66 : x
  2. Step 2: Convert to fraction form
    105.92/146.16 = 61.66/x
  3. Step 3: Cross multiply
    105.92x = 146.16 × 61.66
  4. Step 4: Simplify right side
    105.92x = 9,011.94
  5. Step 5: Solve for x
    x = 9,011.94/105.92
  6. Step 6: Final answer
    x = 85.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.