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Finding the Fourth Proportional to 235.05, 352.58 and 72.71

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Solution

The fourth proportional to 235.05, 352.58 and 72.71 is: 109.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.05 : 352.58 = 72.71 : x
  2. Step 2: Convert to fraction form
    235.05/352.58 = 72.71/x
  3. Step 3: Cross multiply
    235.05x = 352.58 × 72.71
  4. Step 4: Simplify right side
    235.05x = 25,635.29
  5. Step 5: Solve for x
    x = 25,635.29/235.05
  6. Step 6: Final answer
    x = 109.06

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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.