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Finding the Fourth Proportional to 135.30, 202.21 and 106.06

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Solution

The fourth proportional to 135.30, 202.21 and 106.06 is: 158.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.30 : 202.21 = 106.06 : x
  2. Step 2: Convert to fraction form
    135.30/202.21 = 106.06/x
  3. Step 3: Cross multiply
    135.30x = 202.21 × 106.06
  4. Step 4: Simplify right side
    135.30x = 21,446.39
  5. Step 5: Solve for x
    x = 21,446.39/135.30
  6. Step 6: Final answer
    x = 158.51

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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.