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Finding the Fourth Proportional to 161.81, 242.61 and 64.22

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Solution

The fourth proportional to 161.81, 242.61 and 64.22 is: 96.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.81 : 242.61 = 64.22 : x
  2. Step 2: Convert to fraction form
    161.81/242.61 = 64.22/x
  3. Step 3: Cross multiply
    161.81x = 242.61 × 64.22
  4. Step 4: Simplify right side
    161.81x = 15,580.41
  5. Step 5: Solve for x
    x = 15,580.41/161.81
  6. Step 6: Final answer
    x = 96.29

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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.