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Finding the Fourth Proportional to 166.59, 229.88 and 92.90

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Solution

The fourth proportional to 166.59, 229.88 and 92.90 is: 128.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.59 : 229.88 = 92.90 : x
  2. Step 2: Convert to fraction form
    166.59/229.88 = 92.90/x
  3. Step 3: Cross multiply
    166.59x = 229.88 × 92.90
  4. Step 4: Simplify right side
    166.59x = 21,354.24
  5. Step 5: Solve for x
    x = 21,354.24/166.59
  6. Step 6: Final answer
    x = 128.18

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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.