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Finding the Fourth Proportional to 137.29, 205.97 and 65.07

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Solution

The fourth proportional to 137.29, 205.97 and 65.07 is: 97.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.29 : 205.97 = 65.07 : x
  2. Step 2: Convert to fraction form
    137.29/205.97 = 65.07/x
  3. Step 3: Cross multiply
    137.29x = 205.97 × 65.07
  4. Step 4: Simplify right side
    137.29x = 13,402.47
  5. Step 5: Solve for x
    x = 13,402.47/137.29
  6. Step 6: Final answer
    x = 97.62

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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.