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Finding the Fourth Proportional to 137.99, 206.55 and 97.38

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Solution

The fourth proportional to 137.99, 206.55 and 97.38 is: 145.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.99 : 206.55 = 97.38 : x
  2. Step 2: Convert to fraction form
    137.99/206.55 = 97.38/x
  3. Step 3: Cross multiply
    137.99x = 206.55 × 97.38
  4. Step 4: Simplify right side
    137.99x = 20,113.84
  5. Step 5: Solve for x
    x = 20,113.84/137.99
  6. Step 6: Final answer
    x = 145.76

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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.