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Finding the Fourth Proportional to 7.10, 10.64 and 2.28

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Solution

The fourth proportional to 7.10, 10.64 and 2.28 is: 3.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.10 : 10.64 = 2.28 : x
  2. Step 2: Convert to fraction form
    7.10/10.64 = 2.28/x
  3. Step 3: Cross multiply
    7.10x = 10.64 × 2.28
  4. Step 4: Simplify right side
    7.10x = 24.27
  5. Step 5: Solve for x
    x = 24.27/7.10
  6. Step 6: Final answer
    x = 3.42

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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.