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Finding the Fourth Proportional to 135.84, 202.65 and 122.16

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Solution

The fourth proportional to 135.84, 202.65 and 122.16 is: 182.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.84 : 202.65 = 122.16 : x
  2. Step 2: Convert to fraction form
    135.84/202.65 = 122.16/x
  3. Step 3: Cross multiply
    135.84x = 202.65 × 122.16
  4. Step 4: Simplify right side
    135.84x = 24,755.72
  5. Step 5: Solve for x
    x = 24,755.72/135.84
  6. Step 6: Final answer
    x = 182.24

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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.