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Finding the Fourth Proportional to 120.46, 166.16 and 112.36

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Solution

The fourth proportional to 120.46, 166.16 and 112.36 is: 154.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.46 : 166.16 = 112.36 : x
  2. Step 2: Convert to fraction form
    120.46/166.16 = 112.36/x
  3. Step 3: Cross multiply
    120.46x = 166.16 × 112.36
  4. Step 4: Simplify right side
    120.46x = 18,669.60
  5. Step 5: Solve for x
    x = 18,669.60/120.46
  6. Step 6: Final answer
    x = 154.99

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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.