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Finding the Fourth Proportional to 149.46, 206.06 and 100.34

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Solution

The fourth proportional to 149.46, 206.06 and 100.34 is: 138.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.46 : 206.06 = 100.34 : x
  2. Step 2: Convert to fraction form
    149.46/206.06 = 100.34/x
  3. Step 3: Cross multiply
    149.46x = 206.06 × 100.34
  4. Step 4: Simplify right side
    149.46x = 20,676.06
  5. Step 5: Solve for x
    x = 20,676.06/149.46
  6. Step 6: Final answer
    x = 138.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.