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Finding the Fourth Proportional to 108.56, 162.24 and 92.36

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Solution

The fourth proportional to 108.56, 162.24 and 92.36 is: 138.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.56 : 162.24 = 92.36 : x
  2. Step 2: Convert to fraction form
    108.56/162.24 = 92.36/x
  3. Step 3: Cross multiply
    108.56x = 162.24 × 92.36
  4. Step 4: Simplify right side
    108.56x = 14,984.49
  5. Step 5: Solve for x
    x = 14,984.49/108.56
  6. Step 6: Final answer
    x = 138.03

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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.