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Finding the Fourth Proportional to 111.63, 154.06 and 78.42

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Solution

The fourth proportional to 111.63, 154.06 and 78.42 is: 108.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.63 : 154.06 = 78.42 : x
  2. Step 2: Convert to fraction form
    111.63/154.06 = 78.42/x
  3. Step 3: Cross multiply
    111.63x = 154.06 × 78.42
  4. Step 4: Simplify right side
    111.63x = 12,081.19
  5. Step 5: Solve for x
    x = 12,081.19/111.63
  6. Step 6: Final answer
    x = 108.23

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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.