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Finding the Fourth Proportional to 7.22, 10.83 and 2.40

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Solution

The fourth proportional to 7.22, 10.83 and 2.40 is: 3.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.22 : 10.83 = 2.40 : x
  2. Step 2: Convert to fraction form
    7.22/10.83 = 2.40/x
  3. Step 3: Cross multiply
    7.22x = 10.83 × 2.40
  4. Step 4: Simplify right side
    7.22x = 26.01
  5. Step 5: Solve for x
    x = 26.01/7.22
  6. Step 6: Final answer
    x = 3.60

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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.