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Finding the Fourth Proportional to 108.42, 162.63 and 106.67

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Solution

The fourth proportional to 108.42, 162.63 and 106.67 is: 160.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.42 : 162.63 = 106.67 : x
  2. Step 2: Convert to fraction form
    108.42/162.63 = 106.67/x
  3. Step 3: Cross multiply
    108.42x = 162.63 × 106.67
  4. Step 4: Simplify right side
    108.42x = 17,346.93
  5. Step 5: Solve for x
    x = 17,346.93/108.42
  6. Step 6: Final answer
    x = 160.00

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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.