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Finding the Fourth Proportional to 5.78, 8.63 and 4.16

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Solution

The fourth proportional to 5.78, 8.63 and 4.16 is: 6.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.78 : 8.63 = 4.16 : x
  2. Step 2: Convert to fraction form
    5.78/8.63 = 4.16/x
  3. Step 3: Cross multiply
    5.78x = 8.63 × 4.16
  4. Step 4: Simplify right side
    5.78x = 35.92
  5. Step 5: Solve for x
    x = 35.92/5.78
  6. Step 6: Final answer
    x = 6.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.