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Finding the Fourth Proportional to 121.32, 182.64 and 106.20

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Solution

The fourth proportional to 121.32, 182.64 and 106.20 is: 159.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.32 : 182.64 = 106.20 : x
  2. Step 2: Convert to fraction form
    121.32/182.64 = 106.20/x
  3. Step 3: Cross multiply
    121.32x = 182.64 × 106.20
  4. Step 4: Simplify right side
    121.32x = 19,396.37
  5. Step 5: Solve for x
    x = 19,396.37/121.32
  6. Step 6: Final answer
    x = 159.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.