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Finding the Fourth Proportional to 107.34, 160.20 and 99.66

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Solution

The fourth proportional to 107.34, 160.20 and 99.66 is: 148.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.34 : 160.20 = 99.66 : x
  2. Step 2: Convert to fraction form
    107.34/160.20 = 99.66/x
  3. Step 3: Cross multiply
    107.34x = 160.20 × 99.66
  4. Step 4: Simplify right side
    107.34x = 15,965.53
  5. Step 5: Solve for x
    x = 15,965.53/107.34
  6. Step 6: Final answer
    x = 148.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.