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Finding the Fourth Proportional to 29.48, 40.49 and 25.82

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Solution

The fourth proportional to 29.48, 40.49 and 25.82 is: 35.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.48 : 40.49 = 25.82 : x
  2. Step 2: Convert to fraction form
    29.48/40.49 = 25.82/x
  3. Step 3: Cross multiply
    29.48x = 40.49 × 25.82
  4. Step 4: Simplify right side
    29.48x = 1,045.45
  5. Step 5: Solve for x
    x = 1,045.45/29.48
  6. Step 6: Final answer
    x = 35.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.