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Finding the Fourth Proportional to 25.61, 38.46 and 16.00

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Solution

The fourth proportional to 25.61, 38.46 and 16.00 is: 24.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.61 : 38.46 = 16.00 : x
  2. Step 2: Convert to fraction form
    25.61/38.46 = 16.00/x
  3. Step 3: Cross multiply
    25.61x = 38.46 × 16.00
  4. Step 4: Simplify right side
    25.61x = 615.09
  5. Step 5: Solve for x
    x = 615.09/25.61
  6. Step 6: Final answer
    x = 24.02

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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.