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Finding the Fourth Proportional to 139.77, 193.05 and 113.85

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Solution

The fourth proportional to 139.77, 193.05 and 113.85 is: 157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.77 : 193.05 = 113.85 : x
  2. Step 2: Convert to fraction form
    139.77/193.05 = 113.85/x
  3. Step 3: Cross multiply
    139.77x = 193.05 × 113.85
  4. Step 4: Simplify right side
    139.77x = 21,978.74
  5. Step 5: Solve for x
    x = 21,978.74/139.77
  6. Step 6: Final answer
    x = 157.25

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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.