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Finding the Fourth Proportional to 103.25, 142.67 and 84.82

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Solution

The fourth proportional to 103.25, 142.67 and 84.82 is: 117.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.25 : 142.67 = 84.82 : x
  2. Step 2: Convert to fraction form
    103.25/142.67 = 84.82/x
  3. Step 3: Cross multiply
    103.25x = 142.67 × 84.82
  4. Step 4: Simplify right side
    103.25x = 12,100.81
  5. Step 5: Solve for x
    x = 12,100.81/103.25
  6. Step 6: Final answer
    x = 117.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.