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Finding the Fourth Proportional to 120.36, 179.65 and 106.12

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Solution

The fourth proportional to 120.36, 179.65 and 106.12 is: 158.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.36 : 179.65 = 106.12 : x
  2. Step 2: Convert to fraction form
    120.36/179.65 = 106.12/x
  3. Step 3: Cross multiply
    120.36x = 179.65 × 106.12
  4. Step 4: Simplify right side
    120.36x = 19,064.46
  5. Step 5: Solve for x
    x = 19,064.46/120.36
  6. Step 6: Final answer
    x = 158.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.