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Finding the Fourth Proportional to 131.94, 198.70 and 110.47

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Solution

The fourth proportional to 131.94, 198.70 and 110.47 is: 166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.94 : 198.70 = 110.47 : x
  2. Step 2: Convert to fraction form
    131.94/198.70 = 110.47/x
  3. Step 3: Cross multiply
    131.94x = 198.70 × 110.47
  4. Step 4: Simplify right side
    131.94x = 21,950.39
  5. Step 5: Solve for x
    x = 21,950.39/131.94
  6. Step 6: Final answer
    x = 166.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.