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Finding the Fourth Proportional to 110.38, 164.80 and 95.10

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Solution

The fourth proportional to 110.38, 164.80 and 95.10 is: 141.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.38 : 164.80 = 95.10 : x
  2. Step 2: Convert to fraction form
    110.38/164.80 = 95.10/x
  3. Step 3: Cross multiply
    110.38x = 164.80 × 95.10
  4. Step 4: Simplify right side
    110.38x = 15,672.48
  5. Step 5: Solve for x
    x = 15,672.48/110.38
  6. Step 6: Final answer
    x = 141.99

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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.