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Finding the Fourth Proportional to 47.35, 65.21 and 46.46

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Solution

The fourth proportional to 47.35, 65.21 and 46.46 is: 63.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.35 : 65.21 = 46.46 : x
  2. Step 2: Convert to fraction form
    47.35/65.21 = 46.46/x
  3. Step 3: Cross multiply
    47.35x = 65.21 × 46.46
  4. Step 4: Simplify right side
    47.35x = 3,029.66
  5. Step 5: Solve for x
    x = 3,029.66/47.35
  6. Step 6: Final answer
    x = 63.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.