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Finding the Fourth Proportional to 73.76, 111.32 and 71.84

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Solution

The fourth proportional to 73.76, 111.32 and 71.84 is: 108.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.76 : 111.32 = 71.84 : x
  2. Step 2: Convert to fraction form
    73.76/111.32 = 71.84/x
  3. Step 3: Cross multiply
    73.76x = 111.32 × 71.84
  4. Step 4: Simplify right side
    73.76x = 7,997.23
  5. Step 5: Solve for x
    x = 7,997.23/73.76
  6. Step 6: Final answer
    x = 108.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.