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Finding the Fourth Proportional to 118.93, 164.14 and 89.77

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Solution

The fourth proportional to 118.93, 164.14 and 89.77 is: 123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.93 : 164.14 = 89.77 : x
  2. Step 2: Convert to fraction form
    118.93/164.14 = 89.77/x
  3. Step 3: Cross multiply
    118.93x = 164.14 × 89.77
  4. Step 4: Simplify right side
    118.93x = 14,734.85
  5. Step 5: Solve for x
    x = 14,734.85/118.93
  6. Step 6: Final answer
    x = 123.90

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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.