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Finding the Fourth Proportional to 149.57, 206.41 and 84.06

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Solution

The fourth proportional to 149.57, 206.41 and 84.06 is: 116.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.57 : 206.41 = 84.06 : x
  2. Step 2: Convert to fraction form
    149.57/206.41 = 84.06/x
  3. Step 3: Cross multiply
    149.57x = 206.41 × 84.06
  4. Step 4: Simplify right side
    149.57x = 17,350.82
  5. Step 5: Solve for x
    x = 17,350.82/149.57
  6. Step 6: Final answer
    x = 116.00

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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.