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Finding the Fourth Proportional to 105.83, 146.01 and 85.13

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Solution

The fourth proportional to 105.83, 146.01 and 85.13 is: 117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.83 : 146.01 = 85.13 : x
  2. Step 2: Convert to fraction form
    105.83/146.01 = 85.13/x
  3. Step 3: Cross multiply
    105.83x = 146.01 × 85.13
  4. Step 4: Simplify right side
    105.83x = 12,429.97
  5. Step 5: Solve for x
    x = 12,429.97/105.83
  6. Step 6: Final answer
    x = 117.45

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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.