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Finding the Fourth Proportional to 166.09, 229.14 and 110.77

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Solution

The fourth proportional to 166.09, 229.14 and 110.77 is: 152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.09 : 229.14 = 110.77 : x
  2. Step 2: Convert to fraction form
    166.09/229.14 = 110.77/x
  3. Step 3: Cross multiply
    166.09x = 229.14 × 110.77
  4. Step 4: Simplify right side
    166.09x = 25,381.84
  5. Step 5: Solve for x
    x = 25,381.84/166.09
  6. Step 6: Final answer
    x = 152.82

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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.