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Finding the Fourth Proportional to 7.68, 11.54 and 4.68

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Solution

The fourth proportional to 7.68, 11.54 and 4.68 is: 7.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.68 : 11.54 = 4.68 : x
  2. Step 2: Convert to fraction form
    7.68/11.54 = 4.68/x
  3. Step 3: Cross multiply
    7.68x = 11.54 × 4.68
  4. Step 4: Simplify right side
    7.68x = 53.98
  5. Step 5: Solve for x
    x = 53.98/7.68
  6. Step 6: Final answer
    x = 7.03

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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.