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Finding the Fourth Proportional to 139.96, 208.98 and 110.74

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Solution

The fourth proportional to 139.96, 208.98 and 110.74 is: 165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.96 : 208.98 = 110.74 : x
  2. Step 2: Convert to fraction form
    139.96/208.98 = 110.74/x
  3. Step 3: Cross multiply
    139.96x = 208.98 × 110.74
  4. Step 4: Simplify right side
    139.96x = 23,142.34
  5. Step 5: Solve for x
    x = 23,142.34/139.96
  6. Step 6: Final answer
    x = 165.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.