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Finding the Fourth Proportional to 166.58, 229.82 and 101.06

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Solution

The fourth proportional to 166.58, 229.82 and 101.06 is: 139.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.58 : 229.82 = 101.06 : x
  2. Step 2: Convert to fraction form
    166.58/229.82 = 101.06/x
  3. Step 3: Cross multiply
    166.58x = 229.82 × 101.06
  4. Step 4: Simplify right side
    166.58x = 23,225.61
  5. Step 5: Solve for x
    x = 23,225.61/166.58
  6. Step 6: Final answer
    x = 139.43

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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.