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Finding the Fourth Proportional to 166.71, 229.95 and 104.58

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Solution

The fourth proportional to 166.71, 229.95 and 104.58 is: 144.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.71 : 229.95 = 104.58 : x
  2. Step 2: Convert to fraction form
    166.71/229.95 = 104.58/x
  3. Step 3: Cross multiply
    166.71x = 229.95 × 104.58
  4. Step 4: Simplify right side
    166.71x = 24,048.17
  5. Step 5: Solve for x
    x = 24,048.17/166.71
  6. Step 6: Final answer
    x = 144.25

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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.