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Finding the Fourth Proportional to 108.61, 162.77 and 65.34

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Solution

The fourth proportional to 108.61, 162.77 and 65.34 is: 97.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.61 : 162.77 = 65.34 : x
  2. Step 2: Convert to fraction form
    108.61/162.77 = 65.34/x
  3. Step 3: Cross multiply
    108.61x = 162.77 × 65.34
  4. Step 4: Simplify right side
    108.61x = 10,635.07
  5. Step 5: Solve for x
    x = 10,635.07/108.61
  6. Step 6: Final answer
    x = 97.92

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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.