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Finding the Fourth Proportional to 137.48, 204.66 and 136.67

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Solution

The fourth proportional to 137.48, 204.66 and 136.67 is: 203.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.48 : 204.66 = 136.67 : x
  2. Step 2: Convert to fraction form
    137.48/204.66 = 136.67/x
  3. Step 3: Cross multiply
    137.48x = 204.66 × 136.67
  4. Step 4: Simplify right side
    137.48x = 27,969.86
  5. Step 5: Solve for x
    x = 27,969.86/137.48
  6. Step 6: Final answer
    x = 203.45

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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.