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Finding the Fourth Proportional to 109.02, 150.72 and 84.44

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Solution

The fourth proportional to 109.02, 150.72 and 84.44 is: 116.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.02 : 150.72 = 84.44 : x
  2. Step 2: Convert to fraction form
    109.02/150.72 = 84.44/x
  3. Step 3: Cross multiply
    109.02x = 150.72 × 84.44
  4. Step 4: Simplify right side
    109.02x = 12,726.80
  5. Step 5: Solve for x
    x = 12,726.80/109.02
  6. Step 6: Final answer
    x = 116.74

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Why These Related Problems?

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