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Finding the Fourth Proportional to 161.91, 242.71 and 59.14

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Solution

The fourth proportional to 161.91, 242.71 and 59.14 is: 88.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.91 : 242.71 = 59.14 : x
  2. Step 2: Convert to fraction form
    161.91/242.71 = 59.14/x
  3. Step 3: Cross multiply
    161.91x = 242.71 × 59.14
  4. Step 4: Simplify right side
    161.91x = 14,354.36
  5. Step 5: Solve for x
    x = 14,354.36/161.91
  6. Step 6: Final answer
    x = 88.66

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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.