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Finding the Fourth Proportional to 149.51, 206.31 and 94.24

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Solution

The fourth proportional to 149.51, 206.31 and 94.24 is: 130.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.51 : 206.31 = 94.24 : x
  2. Step 2: Convert to fraction form
    149.51/206.31 = 94.24/x
  3. Step 3: Cross multiply
    149.51x = 206.31 × 94.24
  4. Step 4: Simplify right side
    149.51x = 19,442.65
  5. Step 5: Solve for x
    x = 19,442.65/149.51
  6. Step 6: Final answer
    x = 130.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.