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Finding the Fourth Proportional to 149.71, 206.59 and 84.23

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Solution

The fourth proportional to 149.71, 206.59 and 84.23 is: 116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.71 : 206.59 = 84.23 : x
  2. Step 2: Convert to fraction form
    149.71/206.59 = 84.23/x
  3. Step 3: Cross multiply
    149.71x = 206.59 × 84.23
  4. Step 4: Simplify right side
    149.71x = 17,399.62
  5. Step 5: Solve for x
    x = 17,399.62/149.71
  6. Step 6: Final answer
    x = 116.22

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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.