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Finding the Fourth Proportional to 103.77, 142.86 and 90.82

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Solution

The fourth proportional to 103.77, 142.86 and 90.82 is: 125.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.77 : 142.86 = 90.82 : x
  2. Step 2: Convert to fraction form
    103.77/142.86 = 90.82/x
  3. Step 3: Cross multiply
    103.77x = 142.86 × 90.82
  4. Step 4: Simplify right side
    103.77x = 12,974.55
  5. Step 5: Solve for x
    x = 12,974.55/103.77
  6. Step 6: Final answer
    x = 125.03

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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.