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Finding the Fourth Proportional to 45.16, 67.99 and 31

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Solution

The fourth proportional to 45.16, 67.99 and 31 is: 46.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.16 : 67.99 = 31 : x
  2. Step 2: Convert to fraction form
    45.16/67.99 = 31/x
  3. Step 3: Cross multiply
    45.16x = 67.99 × 31
  4. Step 4: Simplify right side
    45.16x = 2,107.69
  5. Step 5: Solve for x
    x = 2,107.69/45.16
  6. Step 6: Final answer
    x = 46.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.