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Finding the Fourth Proportional to 111.01, 166.62 and 59.71

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Solution

The fourth proportional to 111.01, 166.62 and 59.71 is: 89.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.01 : 166.62 = 59.71 : x
  2. Step 2: Convert to fraction form
    111.01/166.62 = 59.71/x
  3. Step 3: Cross multiply
    111.01x = 166.62 × 59.71
  4. Step 4: Simplify right side
    111.01x = 9,948.88
  5. Step 5: Solve for x
    x = 9,948.88/111.01
  6. Step 6: Final answer
    x = 89.62

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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.