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Finding the Fourth Proportional to 84.10, 126.12 and 30.04

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Solution

The fourth proportional to 84.10, 126.12 and 30.04 is: 45.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.10 : 126.12 = 30.04 : x
  2. Step 2: Convert to fraction form
    84.10/126.12 = 30.04/x
  3. Step 3: Cross multiply
    84.10x = 126.12 × 30.04
  4. Step 4: Simplify right side
    84.10x = 3,788.64
  5. Step 5: Solve for x
    x = 3,788.64/84.10
  6. Step 6: Final answer
    x = 45.05

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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.