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Finding the Fourth Proportional to 137.42, 205.85 and 65.33

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Solution

The fourth proportional to 137.42, 205.85 and 65.33 is: 97.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.42 : 205.85 = 65.33 : x
  2. Step 2: Convert to fraction form
    137.42/205.85 = 65.33/x
  3. Step 3: Cross multiply
    137.42x = 205.85 × 65.33
  4. Step 4: Simplify right side
    137.42x = 13,447.31
  5. Step 5: Solve for x
    x = 13,447.31/137.42
  6. Step 6: Final answer
    x = 97.86

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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.