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Finding the Fourth Proportional to 102.27, 153.09 and 85.41

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Solution

The fourth proportional to 102.27, 153.09 and 85.41 is: 127.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.27 : 153.09 = 85.41 : x
  2. Step 2: Convert to fraction form
    102.27/153.09 = 85.41/x
  3. Step 3: Cross multiply
    102.27x = 153.09 × 85.41
  4. Step 4: Simplify right side
    102.27x = 13,075.42
  5. Step 5: Solve for x
    x = 13,075.42/102.27
  6. Step 6: Final answer
    x = 127.85

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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.