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Finding the Fourth Proportional to 120.77, 181.85 and 86.76

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Solution

The fourth proportional to 120.77, 181.85 and 86.76 is: 130.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.77 : 181.85 = 86.76 : x
  2. Step 2: Convert to fraction form
    120.77/181.85 = 86.76/x
  3. Step 3: Cross multiply
    120.77x = 181.85 × 86.76
  4. Step 4: Simplify right side
    120.77x = 15,778.12
  5. Step 5: Solve for x
    x = 15,778.12/120.77
  6. Step 6: Final answer
    x = 130.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.