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Finding the Fourth Proportional to 137.23, 205.86 and 65.14

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Solution

The fourth proportional to 137.23, 205.86 and 65.14 is: 97.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.23 : 205.86 = 65.14 : x
  2. Step 2: Convert to fraction form
    137.23/205.86 = 65.14/x
  3. Step 3: Cross multiply
    137.23x = 205.86 × 65.14
  4. Step 4: Simplify right side
    137.23x = 13,409.72
  5. Step 5: Solve for x
    x = 13,409.72/137.23
  6. Step 6: Final answer
    x = 97.72

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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.