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Finding the Fourth Proportional to 4.16, 5.78 and 4.16

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Solution

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

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.16 : 5.78 = 4.16 : x
  2. Step 2: Convert to fraction form
    4.16/5.78 = 4.16/x
  3. Step 3: Cross multiply
    4.16x = 5.78 × 4.16
  4. Step 4: Simplify right side
    4.16x = 24.02
  5. Step 5: Solve for x
    x = 24.02/4.16
  6. Step 6: Final answer
    x = 5.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.