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Finding the Fourth Proportional to 25.01, 37.52 and 6.98

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Solution

The fourth proportional to 25.01, 37.52 and 6.98 is: 10.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.01 : 37.52 = 6.98 : x
  2. Step 2: Convert to fraction form
    25.01/37.52 = 6.98/x
  3. Step 3: Cross multiply
    25.01x = 37.52 × 6.98
  4. Step 4: Simplify right side
    25.01x = 261.89
  5. Step 5: Solve for x
    x = 261.89/25.01
  6. Step 6: Final answer
    x = 10.47

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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.