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Finding the Fourth Proportional to 45.83, 63.16 and 37.67

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Solution

The fourth proportional to 45.83, 63.16 and 37.67 is: 51.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.83 : 63.16 = 37.67 : x
  2. Step 2: Convert to fraction form
    45.83/63.16 = 37.67/x
  3. Step 3: Cross multiply
    45.83x = 63.16 × 37.67
  4. Step 4: Simplify right side
    45.83x = 2,379.24
  5. Step 5: Solve for x
    x = 2,379.24/45.83
  6. Step 6: Final answer
    x = 51.91

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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.