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Finding the Fourth Proportional to 9.42, 13.00 and 7.12

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Solution

The fourth proportional to 9.42, 13.00 and 7.12 is: 9.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.42 : 13.00 = 7.12 : x
  2. Step 2: Convert to fraction form
    9.42/13.00 = 7.12/x
  3. Step 3: Cross multiply
    9.42x = 13.00 × 7.12
  4. Step 4: Simplify right side
    9.42x = 92.52
  5. Step 5: Solve for x
    x = 92.52/9.42
  6. Step 6: Final answer
    x = 9.82

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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.