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Finding the Fourth Proportional to 50.75, 76.07 and 35.53

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Solution

The fourth proportional to 50.75, 76.07 and 35.53 is: 53.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.75 : 76.07 = 35.53 : x
  2. Step 2: Convert to fraction form
    50.75/76.07 = 35.53/x
  3. Step 3: Cross multiply
    50.75x = 76.07 × 35.53
  4. Step 4: Simplify right side
    50.75x = 2,702.39
  5. Step 5: Solve for x
    x = 2,702.39/50.75
  6. Step 6: Final answer
    x = 53.25

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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.