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Finding the Fourth Proportional to 166.21, 229.27 and 110.87

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Solution

The fourth proportional to 166.21, 229.27 and 110.87 is: 152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.21 : 229.27 = 110.87 : x
  2. Step 2: Convert to fraction form
    166.21/229.27 = 110.87/x
  3. Step 3: Cross multiply
    166.21x = 229.27 × 110.87
  4. Step 4: Simplify right side
    166.21x = 25,419.16
  5. Step 5: Solve for x
    x = 25,419.16/166.21
  6. Step 6: Final answer
    x = 152.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.