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Finding the Fourth Proportional to 28.64, 39.50 and 20

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Solution

The fourth proportional to 28.64, 39.50 and 20 is: 27.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.64 : 39.50 = 20 : x
  2. Step 2: Convert to fraction form
    28.64/39.50 = 20/x
  3. Step 3: Cross multiply
    28.64x = 39.50 × 20
  4. Step 4: Simplify right side
    28.64x = 790
  5. Step 5: Solve for x
    x = 790/28.64
  6. Step 6: Final answer
    x = 27.58

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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.