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Finding the Fourth Proportional to 138.23, 207.53 and 114.11

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Solution

The fourth proportional to 138.23, 207.53 and 114.11 is: 171.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.23 : 207.53 = 114.11 : x
  2. Step 2: Convert to fraction form
    138.23/207.53 = 114.11/x
  3. Step 3: Cross multiply
    138.23x = 207.53 × 114.11
  4. Step 4: Simplify right side
    138.23x = 23,681.25
  5. Step 5: Solve for x
    x = 23,681.25/138.23
  6. Step 6: Final answer
    x = 171.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.