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Finding the Fourth Proportional to 106.81, 160.03 and 76.32

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Solution

The fourth proportional to 106.81, 160.03 and 76.32 is: 114.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.81 : 160.03 = 76.32 : x
  2. Step 2: Convert to fraction form
    106.81/160.03 = 76.32/x
  3. Step 3: Cross multiply
    106.81x = 160.03 × 76.32
  4. Step 4: Simplify right side
    106.81x = 12,213.30
  5. Step 5: Solve for x
    x = 12,213.30/106.81
  6. Step 6: Final answer
    x = 114.35

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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.