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Finding the Fourth Proportional to 138.03, 204.15 and 138.03

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Solution

The fourth proportional to 138.03, 204.15 and 138.03 is: 204.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.03 : 204.15 = 138.03 : x
  2. Step 2: Convert to fraction form
    138.03/204.15 = 138.03/x
  3. Step 3: Cross multiply
    138.03x = 204.15 × 138.03
  4. Step 4: Simplify right side
    138.03x = 28,178.66
  5. Step 5: Solve for x
    x = 28,178.66/138.03
  6. Step 6: Final answer
    x = 204.15

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.