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Finding the Fourth Proportional to 72.16, 107.68 and 67.56

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Solution

The fourth proportional to 72.16, 107.68 and 67.56 is: 100.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.16 : 107.68 = 67.56 : x
  2. Step 2: Convert to fraction form
    72.16/107.68 = 67.56/x
  3. Step 3: Cross multiply
    72.16x = 107.68 × 67.56
  4. Step 4: Simplify right side
    72.16x = 7,274.86
  5. Step 5: Solve for x
    x = 7,274.86/72.16
  6. Step 6: Final answer
    x = 100.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.