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Finding the Fourth Proportional to 137.90, 206.15 and 107.12

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Solution

The fourth proportional to 137.90, 206.15 and 107.12 is: 160.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.90 : 206.15 = 107.12 : x
  2. Step 2: Convert to fraction form
    137.90/206.15 = 107.12/x
  3. Step 3: Cross multiply
    137.90x = 206.15 × 107.12
  4. Step 4: Simplify right side
    137.90x = 22,082.77
  5. Step 5: Solve for x
    x = 22,082.77/137.90
  6. Step 6: Final answer
    x = 160.13

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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.