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Finding the Fourth Proportional to 109.02, 150.52 and 81.42

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Solution

The fourth proportional to 109.02, 150.52 and 81.42 is: 112.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.02 : 150.52 = 81.42 : x
  2. Step 2: Convert to fraction form
    109.02/150.52 = 81.42/x
  3. Step 3: Cross multiply
    109.02x = 150.52 × 81.42
  4. Step 4: Simplify right side
    109.02x = 12,255.34
  5. Step 5: Solve for x
    x = 12,255.34/109.02
  6. Step 6: Final answer
    x = 112.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.