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Finding the Fourth Proportional to 138.65, 191.23 and 107.53

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Solution

The fourth proportional to 138.65, 191.23 and 107.53 is: 148.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.65 : 191.23 = 107.53 : x
  2. Step 2: Convert to fraction form
    138.65/191.23 = 107.53/x
  3. Step 3: Cross multiply
    138.65x = 191.23 × 107.53
  4. Step 4: Simplify right side
    138.65x = 20,562.22
  5. Step 5: Solve for x
    x = 20,562.22/138.65
  6. Step 6: Final answer
    x = 148.31

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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.