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Finding the Fourth Proportional to 137.04, 204.18 and 135.24

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Solution

The fourth proportional to 137.04, 204.18 and 135.24 is: 201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.04 : 204.18 = 135.24 : x
  2. Step 2: Convert to fraction form
    137.04/204.18 = 135.24/x
  3. Step 3: Cross multiply
    137.04x = 204.18 × 135.24
  4. Step 4: Simplify right side
    137.04x = 27,613.30
  5. Step 5: Solve for x
    x = 27,613.30/137.04
  6. Step 6: Final answer
    x = 201.50

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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.