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Finding the Fourth Proportional to 149.65, 206.45 and 87.48

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Solution

The fourth proportional to 149.65, 206.45 and 87.48 is: 120.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.65 : 206.45 = 87.48 : x
  2. Step 2: Convert to fraction form
    149.65/206.45 = 87.48/x
  3. Step 3: Cross multiply
    149.65x = 206.45 × 87.48
  4. Step 4: Simplify right side
    149.65x = 18,060.14
  5. Step 5: Solve for x
    x = 18,060.14/149.65
  6. Step 6: Final answer
    x = 120.68

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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.