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Finding the Fourth Proportional to 45.19, 67.70 and 30.75

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Solution

The fourth proportional to 45.19, 67.70 and 30.75 is: 46.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.19 : 67.70 = 30.75 : x
  2. Step 2: Convert to fraction form
    45.19/67.70 = 30.75/x
  3. Step 3: Cross multiply
    45.19x = 67.70 × 30.75
  4. Step 4: Simplify right side
    45.19x = 2,081.60
  5. Step 5: Solve for x
    x = 2,081.60/45.19
  6. Step 6: Final answer
    x = 46.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.