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Finding the Fourth Proportional to 103.84, 142.72 and 91.49

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Solution

The fourth proportional to 103.84, 142.72 and 91.49 is: 125.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.84 : 142.72 = 91.49 : x
  2. Step 2: Convert to fraction form
    103.84/142.72 = 91.49/x
  3. Step 3: Cross multiply
    103.84x = 142.72 × 91.49
  4. Step 4: Simplify right side
    103.84x = 13,057.03
  5. Step 5: Solve for x
    x = 13,057.03/103.84
  6. Step 6: Final answer
    x = 125.74

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.