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Finding the Fourth Proportional to 139.74, 193.10 and 112.07

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Solution

The fourth proportional to 139.74, 193.10 and 112.07 is: 154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.74 : 193.10 = 112.07 : x
  2. Step 2: Convert to fraction form
    139.74/193.10 = 112.07/x
  3. Step 3: Cross multiply
    139.74x = 193.10 × 112.07
  4. Step 4: Simplify right side
    139.74x = 21,639.19
  5. Step 5: Solve for x
    x = 21,639.19/139.74
  6. Step 6: Final answer
    x = 154.85

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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.