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Finding the Fourth Proportional to 110.07, 164.96 and 55.98

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Solution

The fourth proportional to 110.07, 164.96 and 55.98 is: 83.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.07 : 164.96 = 55.98 : x
  2. Step 2: Convert to fraction form
    110.07/164.96 = 55.98/x
  3. Step 3: Cross multiply
    110.07x = 164.96 × 55.98
  4. Step 4: Simplify right side
    110.07x = 9,234.46
  5. Step 5: Solve for x
    x = 9,234.46/110.07
  6. Step 6: Final answer
    x = 83.90

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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.