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Finding the Fourth Proportional to 96.95, 146.08 and 80.20

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Solution

The fourth proportional to 96.95, 146.08 and 80.20 is: 120.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.95 : 146.08 = 80.20 : x
  2. Step 2: Convert to fraction form
    96.95/146.08 = 80.20/x
  3. Step 3: Cross multiply
    96.95x = 146.08 × 80.20
  4. Step 4: Simplify right side
    96.95x = 11,714.89
  5. Step 5: Solve for x
    x = 11,714.89/96.95
  6. Step 6: Final answer
    x = 120.84

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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.