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Finding the Fourth Proportional to 86.70, 120.77 and 86.52

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Solution

The fourth proportional to 86.70, 120.77 and 86.52 is: 120.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.70 : 120.77 = 86.52 : x
  2. Step 2: Convert to fraction form
    86.70/120.77 = 86.52/x
  3. Step 3: Cross multiply
    86.70x = 120.77 × 86.52
  4. Step 4: Simplify right side
    86.70x = 10,448.59
  5. Step 5: Solve for x
    x = 10,448.59/86.70
  6. Step 6: Final answer
    x = 120.51

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.