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Finding the Fourth Proportional to 103.39, 154.96 and 83.13

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Solution

The fourth proportional to 103.39, 154.96 and 83.13 is: 124.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.39 : 154.96 = 83.13 : x
  2. Step 2: Convert to fraction form
    103.39/154.96 = 83.13/x
  3. Step 3: Cross multiply
    103.39x = 154.96 × 83.13
  4. Step 4: Simplify right side
    103.39x = 12,881.82
  5. Step 5: Solve for x
    x = 12,881.82/103.39
  6. Step 6: Final answer
    x = 124.59

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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.