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Finding the Fourth Proportional to 108.26, 162.16 and 64.80

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Solution

The fourth proportional to 108.26, 162.16 and 64.80 is: 97.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.26 : 162.16 = 64.80 : x
  2. Step 2: Convert to fraction form
    108.26/162.16 = 64.80/x
  3. Step 3: Cross multiply
    108.26x = 162.16 × 64.80
  4. Step 4: Simplify right side
    108.26x = 10,507.97
  5. Step 5: Solve for x
    x = 10,507.97/108.26
  6. Step 6: Final answer
    x = 97.06

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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.