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Finding the Fourth Proportional to 7.45, 11.16 and 6.02

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Solution

The fourth proportional to 7.45, 11.16 and 6.02 is: 9.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.45 : 11.16 = 6.02 : x
  2. Step 2: Convert to fraction form
    7.45/11.16 = 6.02/x
  3. Step 3: Cross multiply
    7.45x = 11.16 × 6.02
  4. Step 4: Simplify right side
    7.45x = 67.17
  5. Step 5: Solve for x
    x = 67.17/7.45
  6. Step 6: Final answer
    x = 9.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.