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Finding the Fourth Proportional to 235.07, 352.68 and 72.77

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Solution

The fourth proportional to 235.07, 352.68 and 72.77 is: 109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.07 : 352.68 = 72.77 : x
  2. Step 2: Convert to fraction form
    235.07/352.68 = 72.77/x
  3. Step 3: Cross multiply
    235.07x = 352.68 × 72.77
  4. Step 4: Simplify right side
    235.07x = 25,662.40
  5. Step 5: Solve for x
    x = 25,662.40/235.07
  6. Step 6: Final answer
    x = 109.17

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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.