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Finding the Fourth Proportional to 30.25, 41.75 and 25.05

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Solution

The fourth proportional to 30.25, 41.75 and 25.05 is: 34.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.25 : 41.75 = 25.05 : x
  2. Step 2: Convert to fraction form
    30.25/41.75 = 25.05/x
  3. Step 3: Cross multiply
    30.25x = 41.75 × 25.05
  4. Step 4: Simplify right side
    30.25x = 1,045.71
  5. Step 5: Solve for x
    x = 1,045.71/30.25
  6. Step 6: Final answer
    x = 34.57

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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.