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Finding the Fourth Proportional to 109.42, 150.86 and 81.42

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Solution

The fourth proportional to 109.42, 150.86 and 81.42 is: 112.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.42 : 150.86 = 81.42 : x
  2. Step 2: Convert to fraction form
    109.42/150.86 = 81.42/x
  3. Step 3: Cross multiply
    109.42x = 150.86 × 81.42
  4. Step 4: Simplify right side
    109.42x = 12,283.51
  5. Step 5: Solve for x
    x = 12,283.51/109.42
  6. Step 6: Final answer
    x = 112.26

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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.