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Finding the Fourth Proportional to 138.37, 206.97 and 101.83

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Solution

The fourth proportional to 138.37, 206.97 and 101.83 is: 152.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.37 : 206.97 = 101.83 : x
  2. Step 2: Convert to fraction form
    138.37/206.97 = 101.83/x
  3. Step 3: Cross multiply
    138.37x = 206.97 × 101.83
  4. Step 4: Simplify right side
    138.37x = 21,075.76
  5. Step 5: Solve for x
    x = 21,075.76/138.37
  6. Step 6: Final answer
    x = 152.31

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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.