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Finding the Fourth Proportional to 108.67, 162.07 and 92.52

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Solution

The fourth proportional to 108.67, 162.07 and 92.52 is: 137.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.67 : 162.07 = 92.52 : x
  2. Step 2: Convert to fraction form
    108.67/162.07 = 92.52/x
  3. Step 3: Cross multiply
    108.67x = 162.07 × 92.52
  4. Step 4: Simplify right side
    108.67x = 14,995.12
  5. Step 5: Solve for x
    x = 14,995.12/108.67
  6. Step 6: Final answer
    x = 137.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.