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Finding the Fourth Proportional to 110.90, 165.38 and 106.58

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Solution

The fourth proportional to 110.90, 165.38 and 106.58 is: 158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.90 : 165.38 = 106.58 : x
  2. Step 2: Convert to fraction form
    110.90/165.38 = 106.58/x
  3. Step 3: Cross multiply
    110.90x = 165.38 × 106.58
  4. Step 4: Simplify right side
    110.90x = 17,626.08
  5. Step 5: Solve for x
    x = 17,626.08/110.90
  6. Step 6: Final answer
    x = 158.93

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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.