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Finding the Fourth Proportional to 11.57, 15.98 and 9.16

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Solution

The fourth proportional to 11.57, 15.98 and 9.16 is: 12.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.57 : 15.98 = 9.16 : x
  2. Step 2: Convert to fraction form
    11.57/15.98 = 9.16/x
  3. Step 3: Cross multiply
    11.57x = 15.98 × 9.16
  4. Step 4: Simplify right side
    11.57x = 146.29
  5. Step 5: Solve for x
    x = 146.29/11.57
  6. Step 6: Final answer
    x = 12.65

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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.