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Finding the Fourth Proportional to 9.93, 13.70 and 6.05

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Solution

The fourth proportional to 9.93, 13.70 and 6.05 is: 8.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.93 : 13.70 = 6.05 : x
  2. Step 2: Convert to fraction form
    9.93/13.70 = 6.05/x
  3. Step 3: Cross multiply
    9.93x = 13.70 × 6.05
  4. Step 4: Simplify right side
    9.93x = 82.82
  5. Step 5: Solve for x
    x = 82.82/9.93
  6. Step 6: Final answer
    x = 8.34

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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.