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Finding the Fourth Proportional to 127.00, 190.34 and 78.09

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Solution

The fourth proportional to 127.00, 190.34 and 78.09 is: 117.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.00 : 190.34 = 78.09 : x
  2. Step 2: Convert to fraction form
    127.00/190.34 = 78.09/x
  3. Step 3: Cross multiply
    127.00x = 190.34 × 78.09
  4. Step 4: Simplify right side
    127.00x = 14,863.26
  5. Step 5: Solve for x
    x = 14,863.26/127.00
  6. Step 6: Final answer
    x = 117.04

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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.