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Finding the Fourth Proportional to 139.15, 208.36 and 74.02

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Solution

The fourth proportional to 139.15, 208.36 and 74.02 is: 110.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.15 : 208.36 = 74.02 : x
  2. Step 2: Convert to fraction form
    139.15/208.36 = 74.02/x
  3. Step 3: Cross multiply
    139.15x = 208.36 × 74.02
  4. Step 4: Simplify right side
    139.15x = 15,422.81
  5. Step 5: Solve for x
    x = 15,422.81/139.15
  6. Step 6: Final answer
    x = 110.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.