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Finding the Fourth Proportional to 5.45, 7.49 and 5.00

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Solution

The fourth proportional to 5.45, 7.49 and 5.00 is: 6.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.45 : 7.49 = 5.00 : x
  2. Step 2: Convert to fraction form
    5.45/7.49 = 5.00/x
  3. Step 3: Cross multiply
    5.45x = 7.49 × 5.00
  4. Step 4: Simplify right side
    5.45x = 37.39
  5. Step 5: Solve for x
    x = 37.39/5.45
  6. Step 6: Final answer
    x = 6.87

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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.