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Finding the Fourth Proportional to 139.76, 208.60 and 128.36

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Solution

The fourth proportional to 139.76, 208.60 and 128.36 is: 191.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.76 : 208.60 = 128.36 : x
  2. Step 2: Convert to fraction form
    139.76/208.60 = 128.36/x
  3. Step 3: Cross multiply
    139.76x = 208.60 × 128.36
  4. Step 4: Simplify right side
    139.76x = 26,775.90
  5. Step 5: Solve for x
    x = 26,775.90/139.76
  6. Step 6: Final answer
    x = 191.58

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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.