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Finding the Fourth Proportional to 72.14, 107.93 and 67.17

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Solution

The fourth proportional to 72.14, 107.93 and 67.17 is: 100.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.14 : 107.93 = 67.17 : x
  2. Step 2: Convert to fraction form
    72.14/107.93 = 67.17/x
  3. Step 3: Cross multiply
    72.14x = 107.93 × 67.17
  4. Step 4: Simplify right side
    72.14x = 7,250.23
  5. Step 5: Solve for x
    x = 7,250.23/72.14
  6. Step 6: Final answer
    x = 100.51

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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.