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Finding the Fourth Proportional to 120.98, 166.86 and 102.54

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Solution

The fourth proportional to 120.98, 166.86 and 102.54 is: 141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.98 : 166.86 = 102.54 : x
  2. Step 2: Convert to fraction form
    120.98/166.86 = 102.54/x
  3. Step 3: Cross multiply
    120.98x = 166.86 × 102.54
  4. Step 4: Simplify right side
    120.98x = 17,109.82
  5. Step 5: Solve for x
    x = 17,109.82/120.98
  6. Step 6: Final answer
    x = 141.43

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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.