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Finding the Fourth Proportional to 139.50, 191.08 and 137.74

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Solution

The fourth proportional to 139.50, 191.08 and 137.74 is: 188.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.50 : 191.08 = 137.74 : x
  2. Step 2: Convert to fraction form
    139.50/191.08 = 137.74/x
  3. Step 3: Cross multiply
    139.50x = 191.08 × 137.74
  4. Step 4: Simplify right side
    139.50x = 26,319.36
  5. Step 5: Solve for x
    x = 26,319.36/139.50
  6. Step 6: Final answer
    x = 188.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.