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Finding the Fourth Proportional to 47.30, 70.42 and 46.76

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Solution

The fourth proportional to 47.30, 70.42 and 46.76 is: 69.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.30 : 70.42 = 46.76 : x
  2. Step 2: Convert to fraction form
    47.30/70.42 = 46.76/x
  3. Step 3: Cross multiply
    47.30x = 70.42 × 46.76
  4. Step 4: Simplify right side
    47.30x = 3,292.84
  5. Step 5: Solve for x
    x = 3,292.84/47.30
  6. Step 6: Final answer
    x = 69.62

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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.