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Finding the Fourth Proportional to 112.03, 154.64 and 77.11

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Solution

The fourth proportional to 112.03, 154.64 and 77.11 is: 106.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.03 : 154.64 = 77.11 : x
  2. Step 2: Convert to fraction form
    112.03/154.64 = 77.11/x
  3. Step 3: Cross multiply
    112.03x = 154.64 × 77.11
  4. Step 4: Simplify right side
    112.03x = 11,924.29
  5. Step 5: Solve for x
    x = 11,924.29/112.03
  6. Step 6: Final answer
    x = 106.44

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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.