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Finding the Fourth Proportional to 109.61, 164.46 and 60.86

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Solution

The fourth proportional to 109.61, 164.46 and 60.86 is: 91.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.61 : 164.46 = 60.86 : x
  2. Step 2: Convert to fraction form
    109.61/164.46 = 60.86/x
  3. Step 3: Cross multiply
    109.61x = 164.46 × 60.86
  4. Step 4: Simplify right side
    109.61x = 10,008.21
  5. Step 5: Solve for x
    x = 10,008.21/109.61
  6. Step 6: Final answer
    x = 91.31

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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.