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Finding the Fourth Proportional to 111.86, 154.37 and 84.18

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Solution

The fourth proportional to 111.86, 154.37 and 84.18 is: 116.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.86 : 154.37 = 84.18 : x
  2. Step 2: Convert to fraction form
    111.86/154.37 = 84.18/x
  3. Step 3: Cross multiply
    111.86x = 154.37 × 84.18
  4. Step 4: Simplify right side
    111.86x = 12,994.87
  5. Step 5: Solve for x
    x = 12,994.87/111.86
  6. Step 6: Final answer
    x = 116.17

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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.