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Finding the Fourth Proportional to 139.03, 208.53 and 106.45

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Solution

The fourth proportional to 139.03, 208.53 and 106.45 is: 159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.03 : 208.53 = 106.45 : x
  2. Step 2: Convert to fraction form
    139.03/208.53 = 106.45/x
  3. Step 3: Cross multiply
    139.03x = 208.53 × 106.45
  4. Step 4: Simplify right side
    139.03x = 22,198.02
  5. Step 5: Solve for x
    x = 22,198.02/139.03
  6. Step 6: Final answer
    x = 159.66

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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.