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Finding the Fourth Proportional to 110.59, 164.91 and 95.47

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Solution

The fourth proportional to 110.59, 164.91 and 95.47 is: 142.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.59 : 164.91 = 95.47 : x
  2. Step 2: Convert to fraction form
    110.59/164.91 = 95.47/x
  3. Step 3: Cross multiply
    110.59x = 164.91 × 95.47
  4. Step 4: Simplify right side
    110.59x = 15,743.96
  5. Step 5: Solve for x
    x = 15,743.96/110.59
  6. Step 6: Final answer
    x = 142.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.