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Finding the Fourth Proportional to 127.38, 190.91 and 69.52

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Solution

The fourth proportional to 127.38, 190.91 and 69.52 is: 104.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.38 : 190.91 = 69.52 : x
  2. Step 2: Convert to fraction form
    127.38/190.91 = 69.52/x
  3. Step 3: Cross multiply
    127.38x = 190.91 × 69.52
  4. Step 4: Simplify right side
    127.38x = 13,271.84
  5. Step 5: Solve for x
    x = 13,271.84/127.38
  6. Step 6: Final answer
    x = 104.19

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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.