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Finding the Fourth Proportional to 7.25, 10.88 and 2.50

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Solution

The fourth proportional to 7.25, 10.88 and 2.50 is: 3.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.25 : 10.88 = 2.50 : x
  2. Step 2: Convert to fraction form
    7.25/10.88 = 2.50/x
  3. Step 3: Cross multiply
    7.25x = 10.88 × 2.50
  4. Step 4: Simplify right side
    7.25x = 27.20
  5. Step 5: Solve for x
    x = 27.20/7.25
  6. Step 6: Final answer
    x = 3.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.