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Finding the Fourth Proportional to 137.57, 206.13 and 107.06

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Solution

The fourth proportional to 137.57, 206.13 and 107.06 is: 160.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.57 : 206.13 = 107.06 : x
  2. Step 2: Convert to fraction form
    137.57/206.13 = 107.06/x
  3. Step 3: Cross multiply
    137.57x = 206.13 × 107.06
  4. Step 4: Simplify right side
    137.57x = 22,068.28
  5. Step 5: Solve for x
    x = 22,068.28/137.57
  6. Step 6: Final answer
    x = 160.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.