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Finding the Fourth Proportional to 111.84, 154.22 and 79.08

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Solution

The fourth proportional to 111.84, 154.22 and 79.08 is: 109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.84 : 154.22 = 79.08 : x
  2. Step 2: Convert to fraction form
    111.84/154.22 = 79.08/x
  3. Step 3: Cross multiply
    111.84x = 154.22 × 79.08
  4. Step 4: Simplify right side
    111.84x = 12,195.72
  5. Step 5: Solve for x
    x = 12,195.72/111.84
  6. Step 6: Final answer
    x = 109.05

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Why These Related Problems?

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