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Finding the Fourth Proportional to 120.94, 166.79 and 95.02

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Solution

The fourth proportional to 120.94, 166.79 and 95.02 is: 131.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.94 : 166.79 = 95.02 : x
  2. Step 2: Convert to fraction form
    120.94/166.79 = 95.02/x
  3. Step 3: Cross multiply
    120.94x = 166.79 × 95.02
  4. Step 4: Simplify right side
    120.94x = 15,848.39
  5. Step 5: Solve for x
    x = 15,848.39/120.94
  6. Step 6: Final answer
    x = 131.04

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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.