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Finding the Fourth Proportional to 127.09, 190.38 and 64.36

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Solution

The fourth proportional to 127.09, 190.38 and 64.36 is: 96.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.09 : 190.38 = 64.36 : x
  2. Step 2: Convert to fraction form
    127.09/190.38 = 64.36/x
  3. Step 3: Cross multiply
    127.09x = 190.38 × 64.36
  4. Step 4: Simplify right side
    127.09x = 12,252.86
  5. Step 5: Solve for x
    x = 12,252.86/127.09
  6. Step 6: Final answer
    x = 96.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.