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Finding the Fourth Proportional to 107.16, 160.84 and 66.66

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Solution

The fourth proportional to 107.16, 160.84 and 66.66 is: 100.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.16 : 160.84 = 66.66 : x
  2. Step 2: Convert to fraction form
    107.16/160.84 = 66.66/x
  3. Step 3: Cross multiply
    107.16x = 160.84 × 66.66
  4. Step 4: Simplify right side
    107.16x = 10,721.59
  5. Step 5: Solve for x
    x = 10,721.59/107.16
  6. Step 6: Final answer
    x = 100.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.