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Finding the Fourth Proportional to 120.16, 166.02 and 106.36

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Solution

The fourth proportional to 120.16, 166.02 and 106.36 is: 146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.16 : 166.02 = 106.36 : x
  2. Step 2: Convert to fraction form
    120.16/166.02 = 106.36/x
  3. Step 3: Cross multiply
    120.16x = 166.02 × 106.36
  4. Step 4: Simplify right side
    120.16x = 17,657.89
  5. Step 5: Solve for x
    x = 17,657.89/120.16
  6. Step 6: Final answer
    x = 146.95

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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.