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Finding the Fourth Proportional to 25.77, 38.64 and 8.64

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Solution

The fourth proportional to 25.77, 38.64 and 8.64 is: 12.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.77 : 38.64 = 8.64 : x
  2. Step 2: Convert to fraction form
    25.77/38.64 = 8.64/x
  3. Step 3: Cross multiply
    25.77x = 38.64 × 8.64
  4. Step 4: Simplify right side
    25.77x = 334.07
  5. Step 5: Solve for x
    x = 334.07/25.77
  6. Step 6: Final answer
    x = 12.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.