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Finding the Fourth Proportional to 109.09, 150.71 and 85.93

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Solution

The fourth proportional to 109.09, 150.71 and 85.93 is: 118.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.09 : 150.71 = 85.93 : x
  2. Step 2: Convert to fraction form
    109.09/150.71 = 85.93/x
  3. Step 3: Cross multiply
    109.09x = 150.71 × 85.93
  4. Step 4: Simplify right side
    109.09x = 12,950.08
  5. Step 5: Solve for x
    x = 12,950.08/109.09
  6. Step 6: Final answer
    x = 118.71

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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.