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Finding the Fourth Proportional to 25.35, 37.74 and 25.24

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Solution

The fourth proportional to 25.35, 37.74 and 25.24 is: 37.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.35 : 37.74 = 25.24 : x
  2. Step 2: Convert to fraction form
    25.35/37.74 = 25.24/x
  3. Step 3: Cross multiply
    25.35x = 37.74 × 25.24
  4. Step 4: Simplify right side
    25.35x = 952.46
  5. Step 5: Solve for x
    x = 952.46/25.35
  6. Step 6: Final answer
    x = 37.57

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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.