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Finding the Fourth Proportional to 6.16, 8.51 and 4.12

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Solution

The fourth proportional to 6.16, 8.51 and 4.12 is: 5.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.16 : 8.51 = 4.12 : x
  2. Step 2: Convert to fraction form
    6.16/8.51 = 4.12/x
  3. Step 3: Cross multiply
    6.16x = 8.51 × 4.12
  4. Step 4: Simplify right side
    6.16x = 35.06
  5. Step 5: Solve for x
    x = 35.06/6.16
  6. Step 6: Final answer
    x = 5.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.