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Finding the Fourth Proportional to 110.10, 166.14 and 106.08

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Solution

The fourth proportional to 110.10, 166.14 and 106.08 is: 160.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.10 : 166.14 = 106.08 : x
  2. Step 2: Convert to fraction form
    110.10/166.14 = 106.08/x
  3. Step 3: Cross multiply
    110.10x = 166.14 × 106.08
  4. Step 4: Simplify right side
    110.10x = 17,624.13
  5. Step 5: Solve for x
    x = 17,624.13/110.10
  6. Step 6: Final answer
    x = 160.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.