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Finding the Fourth Proportional to 139.64, 208.42 and 123.44

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Solution

The fourth proportional to 139.64, 208.42 and 123.44 is: 184.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.64 : 208.42 = 123.44 : x
  2. Step 2: Convert to fraction form
    139.64/208.42 = 123.44/x
  3. Step 3: Cross multiply
    139.64x = 208.42 × 123.44
  4. Step 4: Simplify right side
    139.64x = 25,727.36
  5. Step 5: Solve for x
    x = 25,727.36/139.64
  6. Step 6: Final answer
    x = 184.24

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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.