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Finding the Fourth Proportional to 235.34, 352.91 and 89.12

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Solution

The fourth proportional to 235.34, 352.91 and 89.12 is: 133.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.34 : 352.91 = 89.12 : x
  2. Step 2: Convert to fraction form
    235.34/352.91 = 89.12/x
  3. Step 3: Cross multiply
    235.34x = 352.91 × 89.12
  4. Step 4: Simplify right side
    235.34x = 31,451.94
  5. Step 5: Solve for x
    x = 31,451.94/235.34
  6. Step 6: Final answer
    x = 133.64

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Why These Related Problems?

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