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Finding the Fourth Proportional to 126.18, 189.18 and 102.24

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Solution

The fourth proportional to 126.18, 189.18 and 102.24 is: 153.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.18 : 189.18 = 102.24 : x
  2. Step 2: Convert to fraction form
    126.18/189.18 = 102.24/x
  3. Step 3: Cross multiply
    126.18x = 189.18 × 102.24
  4. Step 4: Simplify right side
    126.18x = 19,341.76
  5. Step 5: Solve for x
    x = 19,341.76/126.18
  6. Step 6: Final answer
    x = 153.29

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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.