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Finding the Fourth Proportional to 65.50, 98.24 and 47.23

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Solution

The fourth proportional to 65.50, 98.24 and 47.23 is: 70.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.50 : 98.24 = 47.23 : x
  2. Step 2: Convert to fraction form
    65.50/98.24 = 47.23/x
  3. Step 3: Cross multiply
    65.50x = 98.24 × 47.23
  4. Step 4: Simplify right side
    65.50x = 4,640.38
  5. Step 5: Solve for x
    x = 4,640.38/65.50
  6. Step 6: Final answer
    x = 70.85

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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.