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Finding the Fourth Proportional to 11.56, 15.96 and 9.40

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Solution

The fourth proportional to 11.56, 15.96 and 9.40 is: 12.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.56 : 15.96 = 9.40 : x
  2. Step 2: Convert to fraction form
    11.56/15.96 = 9.40/x
  3. Step 3: Cross multiply
    11.56x = 15.96 × 9.40
  4. Step 4: Simplify right side
    11.56x = 150.02
  5. Step 5: Solve for x
    x = 150.02/11.56
  6. Step 6: Final answer
    x = 12.98

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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.