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Finding the Fourth Proportional to 144.05, 198.65 and 123.39

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Solution

The fourth proportional to 144.05, 198.65 and 123.39 is: 170.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.05 : 198.65 = 123.39 : x
  2. Step 2: Convert to fraction form
    144.05/198.65 = 123.39/x
  3. Step 3: Cross multiply
    144.05x = 198.65 × 123.39
  4. Step 4: Simplify right side
    144.05x = 24,510.81
  5. Step 5: Solve for x
    x = 24,510.81/144.05
  6. Step 6: Final answer
    x = 170.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.