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Finding the Fourth Proportional to 7.06, 10.59 and 2.24

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Solution

The fourth proportional to 7.06, 10.59 and 2.24 is: 3.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.06 : 10.59 = 2.24 : x
  2. Step 2: Convert to fraction form
    7.06/10.59 = 2.24/x
  3. Step 3: Cross multiply
    7.06x = 10.59 × 2.24
  4. Step 4: Simplify right side
    7.06x = 23.76
  5. Step 5: Solve for x
    x = 23.76/7.06
  6. Step 6: Final answer
    x = 3.37

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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.