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Finding the Fourth Proportional to 111.49, 153.84 and 67.84

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Solution

The fourth proportional to 111.49, 153.84 and 67.84 is: 93.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.49 : 153.84 = 67.84 : x
  2. Step 2: Convert to fraction form
    111.49/153.84 = 67.84/x
  3. Step 3: Cross multiply
    111.49x = 153.84 × 67.84
  4. Step 4: Simplify right side
    111.49x = 10,436.51
  5. Step 5: Solve for x
    x = 10,436.51/111.49
  6. Step 6: Final answer
    x = 93.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.