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Finding the Fourth Proportional to 61.09, 83.93 and 50.16

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Solution

The fourth proportional to 61.09, 83.93 and 50.16 is: 68.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.09 : 83.93 = 50.16 : x
  2. Step 2: Convert to fraction form
    61.09/83.93 = 50.16/x
  3. Step 3: Cross multiply
    61.09x = 83.93 × 50.16
  4. Step 4: Simplify right side
    61.09x = 4,209.93
  5. Step 5: Solve for x
    x = 4,209.93/61.09
  6. Step 6: Final answer
    x = 68.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.