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Finding the Fourth Proportional to 149.31, 206.06 and 82.93

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Solution

The fourth proportional to 149.31, 206.06 and 82.93 is: 114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.31 : 206.06 = 82.93 : x
  2. Step 2: Convert to fraction form
    149.31/206.06 = 82.93/x
  3. Step 3: Cross multiply
    149.31x = 206.06 × 82.93
  4. Step 4: Simplify right side
    149.31x = 17,087.99
  5. Step 5: Solve for x
    x = 17,087.99/149.31
  6. Step 6: Final answer
    x = 114.45

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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.