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Finding the Fourth Proportional to 108.34, 163.07 and 98.92

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Solution

The fourth proportional to 108.34, 163.07 and 98.92 is: 148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.34 : 163.07 = 98.92 : x
  2. Step 2: Convert to fraction form
    108.34/163.07 = 98.92/x
  3. Step 3: Cross multiply
    108.34x = 163.07 × 98.92
  4. Step 4: Simplify right side
    108.34x = 16,130.88
  5. Step 5: Solve for x
    x = 16,130.88/108.34
  6. Step 6: Final answer
    x = 148.89

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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.