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Finding the Fourth Proportional to 25.46, 37.98 and 23.64

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Solution

The fourth proportional to 25.46, 37.98 and 23.64 is: 35.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.46 : 37.98 = 23.64 : x
  2. Step 2: Convert to fraction form
    25.46/37.98 = 23.64/x
  3. Step 3: Cross multiply
    25.46x = 37.98 × 23.64
  4. Step 4: Simplify right side
    25.46x = 897.70
  5. Step 5: Solve for x
    x = 897.70/25.46
  6. Step 6: Final answer
    x = 35.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.