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Finding the Fourth Proportional to 28.88, 39.84 and 28.34

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Solution

The fourth proportional to 28.88, 39.84 and 28.34 is: 39.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.88 : 39.84 = 28.34 : x
  2. Step 2: Convert to fraction form
    28.88/39.84 = 28.34/x
  3. Step 3: Cross multiply
    28.88x = 39.84 × 28.34
  4. Step 4: Simplify right side
    28.88x = 1,129.07
  5. Step 5: Solve for x
    x = 1,129.07/28.88
  6. Step 6: Final answer
    x = 39.10

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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.