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Finding the Fourth Proportional to 149.31, 206.12 and 105.15

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Solution

The fourth proportional to 149.31, 206.12 and 105.15 is: 145.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.31 : 206.12 = 105.15 : x
  2. Step 2: Convert to fraction form
    149.31/206.12 = 105.15/x
  3. Step 3: Cross multiply
    149.31x = 206.12 × 105.15
  4. Step 4: Simplify right side
    149.31x = 21,673.10
  5. Step 5: Solve for x
    x = 21,673.10/149.31
  6. Step 6: Final answer
    x = 145.16

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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.