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Finding the Fourth Proportional to 235.16, 352.80 and 81.12

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Solution

The fourth proportional to 235.16, 352.80 and 81.12 is: 121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.16 : 352.80 = 81.12 : x
  2. Step 2: Convert to fraction form
    235.16/352.80 = 81.12/x
  3. Step 3: Cross multiply
    235.16x = 352.80 × 81.12
  4. Step 4: Simplify right side
    235.16x = 28,619.14
  5. Step 5: Solve for x
    x = 28,619.14/235.16
  6. Step 6: Final answer
    x = 121.70

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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.