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Finding the Fourth Proportional to 102.36, 153.44 and 54.22

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Solution

The fourth proportional to 102.36, 153.44 and 54.22 is: 81.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.36 : 153.44 = 54.22 : x
  2. Step 2: Convert to fraction form
    102.36/153.44 = 54.22/x
  3. Step 3: Cross multiply
    102.36x = 153.44 × 54.22
  4. Step 4: Simplify right side
    102.36x = 8,319.52
  5. Step 5: Solve for x
    x = 8,319.52/102.36
  6. Step 6: Final answer
    x = 81.28

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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.