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Finding the Fourth Proportional to 102.24, 141.30 and 77.68

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Solution

The fourth proportional to 102.24, 141.30 and 77.68 is: 107.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.24 : 141.30 = 77.68 : x
  2. Step 2: Convert to fraction form
    102.24/141.30 = 77.68/x
  3. Step 3: Cross multiply
    102.24x = 141.30 × 77.68
  4. Step 4: Simplify right side
    102.24x = 10,976.18
  5. Step 5: Solve for x
    x = 10,976.18/102.24
  6. Step 6: Final answer
    x = 107.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.