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Finding the Fourth Proportional to 139.02, 191.85 and 117.15

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Solution

The fourth proportional to 139.02, 191.85 and 117.15 is: 161.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.02 : 191.85 = 117.15 : x
  2. Step 2: Convert to fraction form
    139.02/191.85 = 117.15/x
  3. Step 3: Cross multiply
    139.02x = 191.85 × 117.15
  4. Step 4: Simplify right side
    139.02x = 22,475.23
  5. Step 5: Solve for x
    x = 22,475.23/139.02
  6. Step 6: Final answer
    x = 161.67

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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.