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Finding the Fourth Proportional to 136.16, 202.70 and 135.35

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Solution

The fourth proportional to 136.16, 202.70 and 135.35 is: 201.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.16 : 202.70 = 135.35 : x
  2. Step 2: Convert to fraction form
    136.16/202.70 = 135.35/x
  3. Step 3: Cross multiply
    136.16x = 202.70 × 135.35
  4. Step 4: Simplify right side
    136.16x = 27,434.77
  5. Step 5: Solve for x
    x = 27,434.77/136.16
  6. Step 6: Final answer
    x = 201.49

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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.