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Finding the Fourth Proportional to 7.16, 9.84 and 5.78

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Solution

The fourth proportional to 7.16, 9.84 and 5.78 is: 7.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.16 : 9.84 = 5.78 : x
  2. Step 2: Convert to fraction form
    7.16/9.84 = 5.78/x
  3. Step 3: Cross multiply
    7.16x = 9.84 × 5.78
  4. Step 4: Simplify right side
    7.16x = 56.83
  5. Step 5: Solve for x
    x = 56.83/7.16
  6. Step 6: Final answer
    x = 7.94

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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.