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Finding the Fourth Proportional to 47.34, 65.63 and 45.67

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Solution

The fourth proportional to 47.34, 65.63 and 45.67 is: 63.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.34 : 65.63 = 45.67 : x
  2. Step 2: Convert to fraction form
    47.34/65.63 = 45.67/x
  3. Step 3: Cross multiply
    47.34x = 65.63 × 45.67
  4. Step 4: Simplify right side
    47.34x = 2,997.43
  5. Step 5: Solve for x
    x = 2,997.43/47.34
  6. Step 6: Final answer
    x = 63.32

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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.