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Finding the Fourth Proportional to 235.24, 352.65 and 81.06

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Solution

The fourth proportional to 235.24, 352.65 and 81.06 is: 121.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.24 : 352.65 = 81.06 : x
  2. Step 2: Convert to fraction form
    235.24/352.65 = 81.06/x
  3. Step 3: Cross multiply
    235.24x = 352.65 × 81.06
  4. Step 4: Simplify right side
    235.24x = 28,584.93
  5. Step 5: Solve for x
    x = 28,584.93/235.24
  6. Step 6: Final answer
    x = 121.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.