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Finding the Fourth Proportional to 109.35, 164.07 and 87.66

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Solution

The fourth proportional to 109.35, 164.07 and 87.66 is: 131.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.35 : 164.07 = 87.66 : x
  2. Step 2: Convert to fraction form
    109.35/164.07 = 87.66/x
  3. Step 3: Cross multiply
    109.35x = 164.07 × 87.66
  4. Step 4: Simplify right side
    109.35x = 14,382.38
  5. Step 5: Solve for x
    x = 14,382.38/109.35
  6. Step 6: Final answer
    x = 131.53

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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.