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Finding the Fourth Proportional to 126.99, 190.35 and 78.24

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Solution

The fourth proportional to 126.99, 190.35 and 78.24 is: 117.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.99 : 190.35 = 78.24 : x
  2. Step 2: Convert to fraction form
    126.99/190.35 = 78.24/x
  3. Step 3: Cross multiply
    126.99x = 190.35 × 78.24
  4. Step 4: Simplify right side
    126.99x = 14,892.98
  5. Step 5: Solve for x
    x = 14,892.98/126.99
  6. Step 6: Final answer
    x = 117.28

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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.