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Finding the Fourth Proportional to 149.82, 206.80 and 106.08

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Solution

The fourth proportional to 149.82, 206.80 and 106.08 is: 146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.82 : 206.80 = 106.08 : x
  2. Step 2: Convert to fraction form
    149.82/206.80 = 106.08/x
  3. Step 3: Cross multiply
    149.82x = 206.80 × 106.08
  4. Step 4: Simplify right side
    149.82x = 21,937.34
  5. Step 5: Solve for x
    x = 21,937.34/149.82
  6. Step 6: Final answer
    x = 146.42

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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.