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Finding the Fourth Proportional to 161.82, 242.71 and 59.06

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Solution

The fourth proportional to 161.82, 242.71 and 59.06 is: 88.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.82 : 242.71 = 59.06 : x
  2. Step 2: Convert to fraction form
    161.82/242.71 = 59.06/x
  3. Step 3: Cross multiply
    161.82x = 242.71 × 59.06
  4. Step 4: Simplify right side
    161.82x = 14,334.91
  5. Step 5: Solve for x
    x = 14,334.91/161.82
  6. Step 6: Final answer
    x = 88.59

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Why These Related Problems?

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