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Finding the Fourth Proportional to 110.10, 146.12 and 110.10

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Solution

The fourth proportional to 110.10, 146.12 and 110.10 is: 146.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.10 : 146.12 = 110.10 : x
  2. Step 2: Convert to fraction form
    110.10/146.12 = 110.10/x
  3. Step 3: Cross multiply
    110.10x = 146.12 × 110.10
  4. Step 4: Simplify right side
    110.10x = 16,087.26
  5. Step 5: Solve for x
    x = 16,087.26/110.10
  6. Step 6: Final answer
    x = 146.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.