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Finding the Fourth Proportional to 47.02, 65.17 and 46.11

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Solution

The fourth proportional to 47.02, 65.17 and 46.11 is: 63.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.02 : 65.17 = 46.11 : x
  2. Step 2: Convert to fraction form
    47.02/65.17 = 46.11/x
  3. Step 3: Cross multiply
    47.02x = 65.17 × 46.11
  4. Step 4: Simplify right side
    47.02x = 3,005.05
  5. Step 5: Solve for x
    x = 3,005.05/47.02
  6. Step 6: Final answer
    x = 63.90

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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.