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Finding the Fourth Proportional to 109.34, 150.71 and 84.74

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Solution

The fourth proportional to 109.34, 150.71 and 84.74 is: 116.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.34 : 150.71 = 84.74 : x
  2. Step 2: Convert to fraction form
    109.34/150.71 = 84.74/x
  3. Step 3: Cross multiply
    109.34x = 150.71 × 84.74
  4. Step 4: Simplify right side
    109.34x = 12,769.99
  5. Step 5: Solve for x
    x = 12,769.99/109.34
  6. Step 6: Final answer
    x = 116.79

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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.