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Finding the Fourth Proportional to 47.61, 71.51 and 45.41

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Solution

The fourth proportional to 47.61, 71.51 and 45.41 is: 68.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.61 : 71.51 = 45.41 : x
  2. Step 2: Convert to fraction form
    47.61/71.51 = 45.41/x
  3. Step 3: Cross multiply
    47.61x = 71.51 × 45.41
  4. Step 4: Simplify right side
    47.61x = 3,246.68
  5. Step 5: Solve for x
    x = 3,246.68/47.61
  6. Step 6: Final answer
    x = 68.19

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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.