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Finding the Fourth Proportional to 127.42, 190.93 and 90.72

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Solution

The fourth proportional to 127.42, 190.93 and 90.72 is: 135.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.42 : 190.93 = 90.72 : x
  2. Step 2: Convert to fraction form
    127.42/190.93 = 90.72/x
  3. Step 3: Cross multiply
    127.42x = 190.93 × 90.72
  4. Step 4: Simplify right side
    127.42x = 17,321.37
  5. Step 5: Solve for x
    x = 17,321.37/127.42
  6. Step 6: Final answer
    x = 135.94

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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.