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Finding the Fourth Proportional to 137.34, 205.64 and 103.12

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Solution

The fourth proportional to 137.34, 205.64 and 103.12 is: 154.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.34 : 205.64 = 103.12 : x
  2. Step 2: Convert to fraction form
    137.34/205.64 = 103.12/x
  3. Step 3: Cross multiply
    137.34x = 205.64 × 103.12
  4. Step 4: Simplify right side
    137.34x = 21,205.60
  5. Step 5: Solve for x
    x = 21,205.60/137.34
  6. Step 6: Final answer
    x = 154.40

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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.