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Finding the Fourth Proportional to 5.24, 7.82 and 4.16

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Solution

The fourth proportional to 5.24, 7.82 and 4.16 is: 6.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.24 : 7.82 = 4.16 : x
  2. Step 2: Convert to fraction form
    5.24/7.82 = 4.16/x
  3. Step 3: Cross multiply
    5.24x = 7.82 × 4.16
  4. Step 4: Simplify right side
    5.24x = 32.50
  5. Step 5: Solve for x
    x = 32.50/5.24
  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.