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Finding the Fourth Proportional to 65.78, 98.46 and 47.66

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Solution

The fourth proportional to 65.78, 98.46 and 47.66 is: 71.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.78 : 98.46 = 47.66 : x
  2. Step 2: Convert to fraction form
    65.78/98.46 = 47.66/x
  3. Step 3: Cross multiply
    65.78x = 98.46 × 47.66
  4. Step 4: Simplify right side
    65.78x = 4,692.60
  5. Step 5: Solve for x
    x = 4,692.60/65.78
  6. Step 6: Final answer
    x = 71.34

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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.