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Finding the Fourth Proportional to 72.84, 108.56 and 69.82

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Solution

The fourth proportional to 72.84, 108.56 and 69.82 is: 104.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.84 : 108.56 = 69.82 : x
  2. Step 2: Convert to fraction form
    72.84/108.56 = 69.82/x
  3. Step 3: Cross multiply
    72.84x = 108.56 × 69.82
  4. Step 4: Simplify right side
    72.84x = 7,579.66
  5. Step 5: Solve for x
    x = 7,579.66/72.84
  6. Step 6: Final answer
    x = 104.06

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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.