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Finding the Fourth Proportional to 106.89, 160.12 and 82.56

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Solution

The fourth proportional to 106.89, 160.12 and 82.56 is: 123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.89 : 160.12 = 82.56 : x
  2. Step 2: Convert to fraction form
    106.89/160.12 = 82.56/x
  3. Step 3: Cross multiply
    106.89x = 160.12 × 82.56
  4. Step 4: Simplify right side
    106.89x = 13,219.51
  5. Step 5: Solve for x
    x = 13,219.51/106.89
  6. Step 6: Final answer
    x = 123.67

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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.