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Finding the Fourth Proportional to 65.94, 98.88 and 25.37

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Solution

The fourth proportional to 65.94, 98.88 and 25.37 is: 38.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.94 : 98.88 = 25.37 : x
  2. Step 2: Convert to fraction form
    65.94/98.88 = 25.37/x
  3. Step 3: Cross multiply
    65.94x = 98.88 × 25.37
  4. Step 4: Simplify right side
    65.94x = 2,508.59
  5. Step 5: Solve for x
    x = 2,508.59/65.94
  6. Step 6: Final answer
    x = 38.05

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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.