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Finding the Fourth Proportional to 137.96, 205.96 and 128.99

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Solution

The fourth proportional to 137.96, 205.96 and 128.99 is: 192.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.96 : 205.96 = 128.99 : x
  2. Step 2: Convert to fraction form
    137.96/205.96 = 128.99/x
  3. Step 3: Cross multiply
    137.96x = 205.96 × 128.99
  4. Step 4: Simplify right side
    137.96x = 26,565.11
  5. Step 5: Solve for x
    x = 26,565.11/137.96
  6. Step 6: Final answer
    x = 192.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.