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Finding the Fourth Proportional to 135.15, 202.42 and 106.06

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Solution

The fourth proportional to 135.15, 202.42 and 106.06 is: 158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.15 : 202.42 = 106.06 : x
  2. Step 2: Convert to fraction form
    135.15/202.42 = 106.06/x
  3. Step 3: Cross multiply
    135.15x = 202.42 × 106.06
  4. Step 4: Simplify right side
    135.15x = 21,468.67
  5. Step 5: Solve for x
    x = 21,468.67/135.15
  6. Step 6: Final answer
    x = 158.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.