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Finding the Fourth Proportional to 45.20, 67.86 and 30.02

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Solution

The fourth proportional to 45.20, 67.86 and 30.02 is: 45.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.20 : 67.86 = 30.02 : x
  2. Step 2: Convert to fraction form
    45.20/67.86 = 30.02/x
  3. Step 3: Cross multiply
    45.20x = 67.86 × 30.02
  4. Step 4: Simplify right side
    45.20x = 2,037.16
  5. Step 5: Solve for x
    x = 2,037.16/45.20
  6. Step 6: Final answer
    x = 45.07

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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.