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Finding the Fourth Proportional to 166.49, 229.73 and 100.07

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Solution

The fourth proportional to 166.49, 229.73 and 100.07 is: 138.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.49 : 229.73 = 100.07 : x
  2. Step 2: Convert to fraction form
    166.49/229.73 = 100.07/x
  3. Step 3: Cross multiply
    166.49x = 229.73 × 100.07
  4. Step 4: Simplify right side
    166.49x = 22,987.43
  5. Step 5: Solve for x
    x = 22,987.43/166.49
  6. Step 6: Final answer
    x = 138.08

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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.