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Finding the Fourth Proportional to 9.53, 13.16 and 8.40

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Solution

The fourth proportional to 9.53, 13.16 and 8.40 is: 11.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.53 : 13.16 = 8.40 : x
  2. Step 2: Convert to fraction form
    9.53/13.16 = 8.40/x
  3. Step 3: Cross multiply
    9.53x = 13.16 × 8.40
  4. Step 4: Simplify right side
    9.53x = 110.48
  5. Step 5: Solve for x
    x = 110.48/9.53
  6. Step 6: Final answer
    x = 11.59

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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.