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Finding the Fourth Proportional to 105.87, 146.12 and 64.42

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Solution

The fourth proportional to 105.87, 146.12 and 64.42 is: 88.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.87 : 146.12 = 64.42 : x
  2. Step 2: Convert to fraction form
    105.87/146.12 = 64.42/x
  3. Step 3: Cross multiply
    105.87x = 146.12 × 64.42
  4. Step 4: Simplify right side
    105.87x = 9,413.05
  5. Step 5: Solve for x
    x = 9,413.05/105.87
  6. Step 6: Final answer
    x = 88.91

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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.