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Finding the Fourth Proportional to 9.52, 13.07 and 9.02

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Solution

The fourth proportional to 9.52, 13.07 and 9.02 is: 12.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.52 : 13.07 = 9.02 : x
  2. Step 2: Convert to fraction form
    9.52/13.07 = 9.02/x
  3. Step 3: Cross multiply
    9.52x = 13.07 × 9.02
  4. Step 4: Simplify right side
    9.52x = 117.89
  5. Step 5: Solve for x
    x = 117.89/9.52
  6. Step 6: Final answer
    x = 12.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.