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Finding the Fourth Proportional to 123.82, 170.46 and 105.06

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Solution

The fourth proportional to 123.82, 170.46 and 105.06 is: 144.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.82 : 170.46 = 105.06 : x
  2. Step 2: Convert to fraction form
    123.82/170.46 = 105.06/x
  3. Step 3: Cross multiply
    123.82x = 170.46 × 105.06
  4. Step 4: Simplify right side
    123.82x = 17,908.53
  5. Step 5: Solve for x
    x = 17,908.53/123.82
  6. Step 6: Final answer
    x = 144.63

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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.