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Finding the Fourth Proportional to 47.59, 65.20 and 46.99

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Solution

The fourth proportional to 47.59, 65.20 and 46.99 is: 64.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.59 : 65.20 = 46.99 : x
  2. Step 2: Convert to fraction form
    47.59/65.20 = 46.99/x
  3. Step 3: Cross multiply
    47.59x = 65.20 × 46.99
  4. Step 4: Simplify right side
    47.59x = 3,063.87
  5. Step 5: Solve for x
    x = 3,063.87/47.59
  6. Step 6: Final answer
    x = 64.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.