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Finding the Fourth Proportional to 108, 162.84 and 106.56

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Solution

The fourth proportional to 108, 162.84 and 106.56 is: 160.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    108 : 162.84 = 106.56 : x
  2. Step 2: Convert to fraction form
    108/162.84 = 106.56/x
  3. Step 3: Cross multiply
    108x = 162.84 × 106.56
  4. Step 4: Simplify right side
    108x = 17,352.23
  5. Step 5: Solve for x
    x = 17,352.23/108
  6. Step 6: Final answer
    x = 160.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.