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Finding the Fourth Proportional to 137.51, 206.06 and 103.24

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Solution

The fourth proportional to 137.51, 206.06 and 103.24 is: 154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.51 : 206.06 = 103.24 : x
  2. Step 2: Convert to fraction form
    137.51/206.06 = 103.24/x
  3. Step 3: Cross multiply
    137.51x = 206.06 × 103.24
  4. Step 4: Simplify right side
    137.51x = 21,273.96
  5. Step 5: Solve for x
    x = 21,273.96/137.51
  6. Step 6: Final answer
    x = 154.70

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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.