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Finding the Fourth Proportional to 120.11, 165.77 and 71.00

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Solution

The fourth proportional to 120.11, 165.77 and 71.00 is: 97.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.11 : 165.77 = 71.00 : x
  2. Step 2: Convert to fraction form
    120.11/165.77 = 71.00/x
  3. Step 3: Cross multiply
    120.11x = 165.77 × 71.00
  4. Step 4: Simplify right side
    120.11x = 11,768.49
  5. Step 5: Solve for x
    x = 11,768.49/120.11
  6. Step 6: Final answer
    x = 97.98

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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.