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Finding the Fourth Proportional to 161.93, 242.80 and 89.84

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Solution

The fourth proportional to 161.93, 242.80 and 89.84 is: 134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.93 : 242.80 = 89.84 : x
  2. Step 2: Convert to fraction form
    161.93/242.80 = 89.84/x
  3. Step 3: Cross multiply
    161.93x = 242.80 × 89.84
  4. Step 4: Simplify right side
    161.93x = 21,813.53
  5. Step 5: Solve for x
    x = 21,813.53/161.93
  6. Step 6: Final answer
    x = 134.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.