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Finding the Fourth Proportional to 139.37, 193.53 and 138.02

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Solution

The fourth proportional to 139.37, 193.53 and 138.02 is: 191.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.37 : 193.53 = 138.02 : x
  2. Step 2: Convert to fraction form
    139.37/193.53 = 138.02/x
  3. Step 3: Cross multiply
    139.37x = 193.53 × 138.02
  4. Step 4: Simplify right side
    139.37x = 26,710.56
  5. Step 5: Solve for x
    x = 26,710.56/139.37
  6. Step 6: Final answer
    x = 191.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.