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Finding the Fourth Proportional to 5.78, 8.68 and 4.65

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Solution

The fourth proportional to 5.78, 8.68 and 4.65 is: 6.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.78 : 8.68 = 4.65 : x
  2. Step 2: Convert to fraction form
    5.78/8.68 = 4.65/x
  3. Step 3: Cross multiply
    5.78x = 8.68 × 4.65
  4. Step 4: Simplify right side
    5.78x = 40.36
  5. Step 5: Solve for x
    x = 40.36/5.78
  6. Step 6: Final answer
    x = 6.98

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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.