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Finding the Fourth Proportional to 138.51, 206.63 and 123.13

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Solution

The fourth proportional to 138.51, 206.63 and 123.13 is: 183.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.51 : 206.63 = 123.13 : x
  2. Step 2: Convert to fraction form
    138.51/206.63 = 123.13/x
  3. Step 3: Cross multiply
    138.51x = 206.63 × 123.13
  4. Step 4: Simplify right side
    138.51x = 25,442.40
  5. Step 5: Solve for x
    x = 25,442.40/138.51
  6. Step 6: Final answer
    x = 183.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.