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Finding the Fourth Proportional to 103.66, 142.96 and 88.15

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Solution

The fourth proportional to 103.66, 142.96 and 88.15 is: 121.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.66 : 142.96 = 88.15 : x
  2. Step 2: Convert to fraction form
    103.66/142.96 = 88.15/x
  3. Step 3: Cross multiply
    103.66x = 142.96 × 88.15
  4. Step 4: Simplify right side
    103.66x = 12,601.92
  5. Step 5: Solve for x
    x = 12,601.92/103.66
  6. Step 6: Final answer
    x = 121.57

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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.