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Finding the Fourth Proportional to 103.37, 142.76 and 86.83

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Solution

The fourth proportional to 103.37, 142.76 and 86.83 is: 119.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.37 : 142.76 = 86.83 : x
  2. Step 2: Convert to fraction form
    103.37/142.76 = 86.83/x
  3. Step 3: Cross multiply
    103.37x = 142.76 × 86.83
  4. Step 4: Simplify right side
    103.37x = 12,395.71
  5. Step 5: Solve for x
    x = 12,395.71/103.37
  6. Step 6: Final answer
    x = 119.92

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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.