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Finding the Fourth Proportional to 25.54, 35.03 and 23.74

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Solution

The fourth proportional to 25.54, 35.03 and 23.74 is: 32.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.54 : 35.03 = 23.74 : x
  2. Step 2: Convert to fraction form
    25.54/35.03 = 23.74/x
  3. Step 3: Cross multiply
    25.54x = 35.03 × 23.74
  4. Step 4: Simplify right side
    25.54x = 831.61
  5. Step 5: Solve for x
    x = 831.61/25.54
  6. Step 6: Final answer
    x = 32.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.