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Finding the Fourth Proportional to 46.00, 63.42 and 36.75

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Solution

The fourth proportional to 46.00, 63.42 and 36.75 is: 50.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.00 : 63.42 = 36.75 : x
  2. Step 2: Convert to fraction form
    46.00/63.42 = 36.75/x
  3. Step 3: Cross multiply
    46.00x = 63.42 × 36.75
  4. Step 4: Simplify right side
    46.00x = 2,330.78
  5. Step 5: Solve for x
    x = 2,330.78/46.00
  6. Step 6: Final answer
    x = 50.67

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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.