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Finding the Fourth Proportional to 137.07, 205.65 and 82.98

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Solution

The fourth proportional to 137.07, 205.65 and 82.98 is: 124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.07 : 205.65 = 82.98 : x
  2. Step 2: Convert to fraction form
    137.07/205.65 = 82.98/x
  3. Step 3: Cross multiply
    137.07x = 205.65 × 82.98
  4. Step 4: Simplify right side
    137.07x = 17,064.84
  5. Step 5: Solve for x
    x = 17,064.84/137.07
  6. Step 6: Final answer
    x = 124.50

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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.