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Finding the Fourth Proportional to 65.75, 98.57 and 25.12

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Solution

The fourth proportional to 65.75, 98.57 and 25.12 is: 37.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.75 : 98.57 = 25.12 : x
  2. Step 2: Convert to fraction form
    65.75/98.57 = 25.12/x
  3. Step 3: Cross multiply
    65.75x = 98.57 × 25.12
  4. Step 4: Simplify right side
    65.75x = 2,475.89
  5. Step 5: Solve for x
    x = 2,475.89/65.75
  6. Step 6: Final answer
    x = 37.66

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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.