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Finding the Fourth Proportional to 120.56, 166.37 and 65.30

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Solution

The fourth proportional to 120.56, 166.37 and 65.30 is: 90.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.56 : 166.37 = 65.30 : x
  2. Step 2: Convert to fraction form
    120.56/166.37 = 65.30/x
  3. Step 3: Cross multiply
    120.56x = 166.37 × 65.30
  4. Step 4: Simplify right side
    120.56x = 10,863.15
  5. Step 5: Solve for x
    x = 10,863.15/120.56
  6. Step 6: Final answer
    x = 90.11

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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.