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Finding the Fourth Proportional to 138.03, 206.77 and 101.98

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Solution

The fourth proportional to 138.03, 206.77 and 101.98 is: 152.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.03 : 206.77 = 101.98 : x
  2. Step 2: Convert to fraction form
    138.03/206.77 = 101.98/x
  3. Step 3: Cross multiply
    138.03x = 206.77 × 101.98
  4. Step 4: Simplify right side
    138.03x = 21,086.40
  5. Step 5: Solve for x
    x = 21,086.40/138.03
  6. Step 6: Final answer
    x = 152.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.