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Finding the Fourth Proportional to 28.40, 39.12 and 27.84

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Solution

The fourth proportional to 28.40, 39.12 and 27.84 is: 38.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.40 : 39.12 = 27.84 : x
  2. Step 2: Convert to fraction form
    28.40/39.12 = 27.84/x
  3. Step 3: Cross multiply
    28.40x = 39.12 × 27.84
  4. Step 4: Simplify right side
    28.40x = 1,089.10
  5. Step 5: Solve for x
    x = 1,089.10/28.40
  6. Step 6: Final answer
    x = 38.35

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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.