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Finding the Fourth Proportional to 137.01, 205.35 and 123.33

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Solution

The fourth proportional to 137.01, 205.35 and 123.33 is: 184.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.01 : 205.35 = 123.33 : x
  2. Step 2: Convert to fraction form
    137.01/205.35 = 123.33/x
  3. Step 3: Cross multiply
    137.01x = 205.35 × 123.33
  4. Step 4: Simplify right side
    137.01x = 25,325.82
  5. Step 5: Solve for x
    x = 25,325.82/137.01
  6. Step 6: Final answer
    x = 184.85

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