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Finding the Fourth Proportional to 28.46, 39.01 and 28.10

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Solution

The fourth proportional to 28.46, 39.01 and 28.10 is: 38.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.46 : 39.01 = 28.10 : x
  2. Step 2: Convert to fraction form
    28.46/39.01 = 28.10/x
  3. Step 3: Cross multiply
    28.46x = 39.01 × 28.10
  4. Step 4: Simplify right side
    28.46x = 1,096.18
  5. Step 5: Solve for x
    x = 1,096.18/28.46
  6. Step 6: Final answer
    x = 38.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.