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Finding the Fourth Proportional to 109.39, 150.84 and 84.77

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Solution

The fourth proportional to 109.39, 150.84 and 84.77 is: 116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.39 : 150.84 = 84.77 : x
  2. Step 2: Convert to fraction form
    109.39/150.84 = 84.77/x
  3. Step 3: Cross multiply
    109.39x = 150.84 × 84.77
  4. Step 4: Simplify right side
    109.39x = 12,786.71
  5. Step 5: Solve for x
    x = 12,786.71/109.39
  6. Step 6: Final answer
    x = 116.89

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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.