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Finding the Fourth Proportional to 105.87, 146.84 and 101.55

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Solution

The fourth proportional to 105.87, 146.84 and 101.55 is: 140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.87 : 146.84 = 101.55 : x
  2. Step 2: Convert to fraction form
    105.87/146.84 = 101.55/x
  3. Step 3: Cross multiply
    105.87x = 146.84 × 101.55
  4. Step 4: Simplify right side
    105.87x = 14,911.86
  5. Step 5: Solve for x
    x = 14,911.86/105.87
  6. Step 6: Final answer
    x = 140.85

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.