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Finding the Fourth Proportional to 47.46, 65.81 and 45.91

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Solution

The fourth proportional to 47.46, 65.81 and 45.91 is: 63.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.46 : 65.81 = 45.91 : x
  2. Step 2: Convert to fraction form
    47.46/65.81 = 45.91/x
  3. Step 3: Cross multiply
    47.46x = 65.81 × 45.91
  4. Step 4: Simplify right side
    47.46x = 3,021.53
  5. Step 5: Solve for x
    x = 3,021.53/47.46
  6. Step 6: Final answer
    x = 63.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.