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Finding the Fourth Proportional to 105.77, 145.83 and 86.03

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Solution

The fourth proportional to 105.77, 145.83 and 86.03 is: 118.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.77 : 145.83 = 86.03 : x
  2. Step 2: Convert to fraction form
    105.77/145.83 = 86.03/x
  3. Step 3: Cross multiply
    105.77x = 145.83 × 86.03
  4. Step 4: Simplify right side
    105.77x = 12,545.90
  5. Step 5: Solve for x
    x = 12,545.90/105.77
  6. Step 6: Final answer
    x = 118.61

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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.