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Finding the Fourth Proportional to 47.30, 70.96 and 45.34

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Solution

The fourth proportional to 47.30, 70.96 and 45.34 is: 68.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.30 : 70.96 = 45.34 : x
  2. Step 2: Convert to fraction form
    47.30/70.96 = 45.34/x
  3. Step 3: Cross multiply
    47.30x = 70.96 × 45.34
  4. Step 4: Simplify right side
    47.30x = 3,217.33
  5. Step 5: Solve for x
    x = 3,217.33/47.30
  6. Step 6: Final answer
    x = 68.02

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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.