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Finding the Fourth Proportional to 65.46, 98.34 and 47.23

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Solution

The fourth proportional to 65.46, 98.34 and 47.23 is: 70.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.46 : 98.34 = 47.23 : x
  2. Step 2: Convert to fraction form
    65.46/98.34 = 47.23/x
  3. Step 3: Cross multiply
    65.46x = 98.34 × 47.23
  4. Step 4: Simplify right side
    65.46x = 4,644.86
  5. Step 5: Solve for x
    x = 4,644.86/65.46
  6. Step 6: Final answer
    x = 70.96

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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.