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Finding the Fourth Proportional to 120.84, 166.80 and 91.80

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Solution

The fourth proportional to 120.84, 166.80 and 91.80 is: 126.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.84 : 166.80 = 91.80 : x
  2. Step 2: Convert to fraction form
    120.84/166.80 = 91.80/x
  3. Step 3: Cross multiply
    120.84x = 166.80 × 91.80
  4. Step 4: Simplify right side
    120.84x = 15,312.24
  5. Step 5: Solve for x
    x = 15,312.24/120.84
  6. Step 6: Final answer
    x = 126.71

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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.