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Finding the Fourth Proportional to 105.60, 146.68 and 102.56

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Solution

The fourth proportional to 105.60, 146.68 and 102.56 is: 142.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.60 : 146.68 = 102.56 : x
  2. Step 2: Convert to fraction form
    105.60/146.68 = 102.56/x
  3. Step 3: Cross multiply
    105.60x = 146.68 × 102.56
  4. Step 4: Simplify right side
    105.60x = 15,043.50
  5. Step 5: Solve for x
    x = 15,043.50/105.60
  6. Step 6: Final answer
    x = 142.46

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Why These Related Problems?

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