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Finding the Fourth Proportional to 108.26, 162.50 and 105.76

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Solution

The fourth proportional to 108.26, 162.50 and 105.76 is: 158.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.26 : 162.50 = 105.76 : x
  2. Step 2: Convert to fraction form
    108.26/162.50 = 105.76/x
  3. Step 3: Cross multiply
    108.26x = 162.50 × 105.76
  4. Step 4: Simplify right side
    108.26x = 17,186
  5. Step 5: Solve for x
    x = 17,186/108.26
  6. Step 6: Final answer
    x = 158.75

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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.