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Finding the Fourth Proportional to 67.95, 93.83 and 47.25

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Solution

The fourth proportional to 67.95, 93.83 and 47.25 is: 65.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.95 : 93.83 = 47.25 : x
  2. Step 2: Convert to fraction form
    67.95/93.83 = 47.25/x
  3. Step 3: Cross multiply
    67.95x = 93.83 × 47.25
  4. Step 4: Simplify right side
    67.95x = 4,433.23
  5. Step 5: Solve for x
    x = 4,433.23/67.95
  6. Step 6: Final answer
    x = 65.24

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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.