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Finding the Fourth Proportional to 120.50, 166.34 and 83.16

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Solution

The fourth proportional to 120.50, 166.34 and 83.16 is: 114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.50 : 166.34 = 83.16 : x
  2. Step 2: Convert to fraction form
    120.50/166.34 = 83.16/x
  3. Step 3: Cross multiply
    120.50x = 166.34 × 83.16
  4. Step 4: Simplify right side
    120.50x = 13,832.42
  5. Step 5: Solve for x
    x = 13,832.42/120.50
  6. Step 6: Final answer
    x = 114.80

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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.