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Finding the Fourth Proportional to 112.14, 154.83 and 73.38

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Solution

The fourth proportional to 112.14, 154.83 and 73.38 is: 101.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.14 : 154.83 = 73.38 : x
  2. Step 2: Convert to fraction form
    112.14/154.83 = 73.38/x
  3. Step 3: Cross multiply
    112.14x = 154.83 × 73.38
  4. Step 4: Simplify right side
    112.14x = 11,361.43
  5. Step 5: Solve for x
    x = 11,361.43/112.14
  6. Step 6: Final answer
    x = 101.31

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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.