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Finding the Fourth Proportional to 137.70, 205.43 and 130.08

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Solution

The fourth proportional to 137.70, 205.43 and 130.08 is: 194.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.70 : 205.43 = 130.08 : x
  2. Step 2: Convert to fraction form
    137.70/205.43 = 130.08/x
  3. Step 3: Cross multiply
    137.70x = 205.43 × 130.08
  4. Step 4: Simplify right side
    137.70x = 26,721.68
  5. Step 5: Solve for x
    x = 26,721.68/137.70
  6. Step 6: Final answer
    x = 194.06

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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.