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Finding the Fourth Proportional to 126.18, 190.04 and 106.02

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Solution

The fourth proportional to 126.18, 190.04 and 106.02 is: 159.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.18 : 190.04 = 106.02 : x
  2. Step 2: Convert to fraction form
    126.18/190.04 = 106.02/x
  3. Step 3: Cross multiply
    126.18x = 190.04 × 106.02
  4. Step 4: Simplify right side
    126.18x = 20,147.51
  5. Step 5: Solve for x
    x = 20,147.51/126.18
  6. Step 6: Final answer
    x = 159.67

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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.