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Finding the Fourth Proportional to 25.60, 38.64 and 25.60

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Solution

The fourth proportional to 25.60, 38.64 and 25.60 is: 38.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.60 : 38.64 = 25.60 : x
  2. Step 2: Convert to fraction form
    25.60/38.64 = 25.60/x
  3. Step 3: Cross multiply
    25.60x = 38.64 × 25.60
  4. Step 4: Simplify right side
    25.60x = 989.18
  5. Step 5: Solve for x
    x = 989.18/25.60
  6. Step 6: Final answer
    x = 38.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.