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Finding the Fourth Proportional to 105.66, 146.00 and 83.58

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Solution

The fourth proportional to 105.66, 146.00 and 83.58 is: 115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.66 : 146.00 = 83.58 : x
  2. Step 2: Convert to fraction form
    105.66/146.00 = 83.58/x
  3. Step 3: Cross multiply
    105.66x = 146.00 × 83.58
  4. Step 4: Simplify right side
    105.66x = 12,202.26
  5. Step 5: Solve for x
    x = 12,202.26/105.66
  6. Step 6: Final answer
    x = 115.49

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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.