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Finding the Fourth Proportional to 120.32, 166.08 and 83.00

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Solution

The fourth proportional to 120.32, 166.08 and 83.00 is: 114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.32 : 166.08 = 83.00 : x
  2. Step 2: Convert to fraction form
    120.32/166.08 = 83.00/x
  3. Step 3: Cross multiply
    120.32x = 166.08 × 83.00
  4. Step 4: Simplify right side
    120.32x = 13,783.81
  5. Step 5: Solve for x
    x = 13,783.81/120.32
  6. Step 6: Final answer
    x = 114.56

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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.