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Finding the Fourth Proportional to 109.09, 163.70 and 57.77

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Solution

The fourth proportional to 109.09, 163.70 and 57.77 is: 86.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.09 : 163.70 = 57.77 : x
  2. Step 2: Convert to fraction form
    109.09/163.70 = 57.77/x
  3. Step 3: Cross multiply
    109.09x = 163.70 × 57.77
  4. Step 4: Simplify right side
    109.09x = 9,455.84
  5. Step 5: Solve for x
    x = 9,455.84/109.09
  6. Step 6: Final answer
    x = 86.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.