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Finding the Fourth Proportional to 9.42, 13.01 and 5.78

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Solution

The fourth proportional to 9.42, 13.01 and 5.78 is: 7.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.42 : 13.01 = 5.78 : x
  2. Step 2: Convert to fraction form
    9.42/13.01 = 5.78/x
  3. Step 3: Cross multiply
    9.42x = 13.01 × 5.78
  4. Step 4: Simplify right side
    9.42x = 75.20
  5. Step 5: Solve for x
    x = 75.20/9.42
  6. Step 6: Final answer
    x = 7.98

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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.