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Finding the Fourth Proportional to 137.60, 206.18 and 69.10

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Solution

The fourth proportional to 137.60, 206.18 and 69.10 is: 103.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.60 : 206.18 = 69.10 : x
  2. Step 2: Convert to fraction form
    137.60/206.18 = 69.10/x
  3. Step 3: Cross multiply
    137.60x = 206.18 × 69.10
  4. Step 4: Simplify right side
    137.60x = 14,247.04
  5. Step 5: Solve for x
    x = 14,247.04/137.60
  6. Step 6: Final answer
    x = 103.54

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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.