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Finding the Fourth Proportional to 47.37, 70.71 and 45.30

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Solution

The fourth proportional to 47.37, 70.71 and 45.30 is: 67.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.37 : 70.71 = 45.30 : x
  2. Step 2: Convert to fraction form
    47.37/70.71 = 45.30/x
  3. Step 3: Cross multiply
    47.37x = 70.71 × 45.30
  4. Step 4: Simplify right side
    47.37x = 3,203.16
  5. Step 5: Solve for x
    x = 3,203.16/47.37
  6. Step 6: Final answer
    x = 67.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.