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Finding the Fourth Proportional to 105.66, 146.43 and 102.56

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Solution

The fourth proportional to 105.66, 146.43 and 102.56 is: 142.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.66 : 146.43 = 102.56 : x
  2. Step 2: Convert to fraction form
    105.66/146.43 = 102.56/x
  3. Step 3: Cross multiply
    105.66x = 146.43 × 102.56
  4. Step 4: Simplify right side
    105.66x = 15,017.13
  5. Step 5: Solve for x
    x = 15,017.13/105.66
  6. Step 6: Final answer
    x = 142.13

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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.