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Finding the Fourth Proportional to 110.90, 166.23 and 70.26

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Solution

The fourth proportional to 110.90, 166.23 and 70.26 is: 105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.90 : 166.23 = 70.26 : x
  2. Step 2: Convert to fraction form
    110.90/166.23 = 70.26/x
  3. Step 3: Cross multiply
    110.90x = 166.23 × 70.26
  4. Step 4: Simplify right side
    110.90x = 11,679.32
  5. Step 5: Solve for x
    x = 11,679.32/110.90
  6. Step 6: Final answer
    x = 105.32

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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.