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Finding the Fourth Proportional to 30.40, 41.84 and 25.54

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Solution

The fourth proportional to 30.40, 41.84 and 25.54 is: 35.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.40 : 41.84 = 25.54 : x
  2. Step 2: Convert to fraction form
    30.40/41.84 = 25.54/x
  3. Step 3: Cross multiply
    30.40x = 41.84 × 25.54
  4. Step 4: Simplify right side
    30.40x = 1,068.59
  5. Step 5: Solve for x
    x = 1,068.59/30.40
  6. Step 6: Final answer
    x = 35.15

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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.