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Finding the Fourth Proportional to 91.78, 126.65 and 50.33

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Solution

The fourth proportional to 91.78, 126.65 and 50.33 is: 69.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.78 : 126.65 = 50.33 : x
  2. Step 2: Convert to fraction form
    91.78/126.65 = 50.33/x
  3. Step 3: Cross multiply
    91.78x = 126.65 × 50.33
  4. Step 4: Simplify right side
    91.78x = 6,373.80
  5. Step 5: Solve for x
    x = 6,373.80/91.78
  6. Step 6: Final answer
    x = 69.45

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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.