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Finding the Fourth Proportional to 166.58, 229.80 and 107.60

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Solution

The fourth proportional to 166.58, 229.80 and 107.60 is: 148.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.58 : 229.80 = 107.60 : x
  2. Step 2: Convert to fraction form
    166.58/229.80 = 107.60/x
  3. Step 3: Cross multiply
    166.58x = 229.80 × 107.60
  4. Step 4: Simplify right side
    166.58x = 24,726.48
  5. Step 5: Solve for x
    x = 24,726.48/166.58
  6. Step 6: Final answer
    x = 148.44

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