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Finding the Fourth Proportional to 108.51, 162.77 and 36.34

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Solution

The fourth proportional to 108.51, 162.77 and 36.34 is: 54.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.51 : 162.77 = 36.34 : x
  2. Step 2: Convert to fraction form
    108.51/162.77 = 36.34/x
  3. Step 3: Cross multiply
    108.51x = 162.77 × 36.34
  4. Step 4: Simplify right side
    108.51x = 5,915.06
  5. Step 5: Solve for x
    x = 5,915.06/108.51
  6. Step 6: Final answer
    x = 54.51

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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.