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Finding the Fourth Proportional to 35.95, 49.57 and 25.03

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Solution

The fourth proportional to 35.95, 49.57 and 25.03 is: 34.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.95 : 49.57 = 25.03 : x
  2. Step 2: Convert to fraction form
    35.95/49.57 = 25.03/x
  3. Step 3: Cross multiply
    35.95x = 49.57 × 25.03
  4. Step 4: Simplify right side
    35.95x = 1,240.74
  5. Step 5: Solve for x
    x = 1,240.74/35.95
  6. Step 6: Final answer
    x = 34.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.