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Finding the Fourth Proportional to 108.23, 162.17 and 77.45

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Solution

The fourth proportional to 108.23, 162.17 and 77.45 is: 116.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.23 : 162.17 = 77.45 : x
  2. Step 2: Convert to fraction form
    108.23/162.17 = 77.45/x
  3. Step 3: Cross multiply
    108.23x = 162.17 × 77.45
  4. Step 4: Simplify right side
    108.23x = 12,558.87
  5. Step 5: Solve for x
    x = 12,558.87/108.23
  6. Step 6: Final answer
    x = 116.04

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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.