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Finding the Fourth Proportional to 47.56, 71.67 and 42.65

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Solution

The fourth proportional to 47.56, 71.67 and 42.65 is: 64.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.56 : 71.67 = 42.65 : x
  2. Step 2: Convert to fraction form
    47.56/71.67 = 42.65/x
  3. Step 3: Cross multiply
    47.56x = 71.67 × 42.65
  4. Step 4: Simplify right side
    47.56x = 3,056.73
  5. Step 5: Solve for x
    x = 3,056.73/47.56
  6. Step 6: Final answer
    x = 64.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.