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Finding the Fourth Proportional to 137.76, 205.08 and 135.84

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Solution

The fourth proportional to 137.76, 205.08 and 135.84 is: 202.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.76 : 205.08 = 135.84 : x
  2. Step 2: Convert to fraction form
    137.76/205.08 = 135.84/x
  3. Step 3: Cross multiply
    137.76x = 205.08 × 135.84
  4. Step 4: Simplify right side
    137.76x = 27,858.07
  5. Step 5: Solve for x
    x = 27,858.07/137.76
  6. Step 6: Final answer
    x = 202.22

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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.