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Finding the Fourth Proportional to 7.25, 10.00 and 5.00

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Solution

The fourth proportional to 7.25, 10.00 and 5.00 is: 6.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.25 : 10.00 = 5.00 : x
  2. Step 2: Convert to fraction form
    7.25/10.00 = 5.00/x
  3. Step 3: Cross multiply
    7.25x = 10.00 × 5.00
  4. Step 4: Simplify right side
    7.25x = 49.98
  5. Step 5: Solve for x
    x = 49.98/7.25
  6. Step 6: Final answer
    x = 6.89

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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.