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Finding the Fourth Proportional to 137.51, 205.31 and 122.93

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Solution

The fourth proportional to 137.51, 205.31 and 122.93 is: 183.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.51 : 205.31 = 122.93 : x
  2. Step 2: Convert to fraction form
    137.51/205.31 = 122.93/x
  3. Step 3: Cross multiply
    137.51x = 205.31 × 122.93
  4. Step 4: Simplify right side
    137.51x = 25,238.14
  5. Step 5: Solve for x
    x = 25,238.14/137.51
  6. Step 6: Final answer
    x = 183.54

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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.