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Finding the Fourth Proportional to 47.64, 65.62 and 36.70

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Solution

The fourth proportional to 47.64, 65.62 and 36.70 is: 50.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.64 : 65.62 = 36.70 : x
  2. Step 2: Convert to fraction form
    47.64/65.62 = 36.70/x
  3. Step 3: Cross multiply
    47.64x = 65.62 × 36.70
  4. Step 4: Simplify right side
    47.64x = 2,408.25
  5. Step 5: Solve for x
    x = 2,408.25/47.64
  6. Step 6: Final answer
    x = 50.55

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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.