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Finding the Fourth Proportional to 9.10, 12.53 and 8.13

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Solution

The fourth proportional to 9.10, 12.53 and 8.13 is: 11.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.10 : 12.53 = 8.13 : x
  2. Step 2: Convert to fraction form
    9.10/12.53 = 8.13/x
  3. Step 3: Cross multiply
    9.10x = 12.53 × 8.13
  4. Step 4: Simplify right side
    9.10x = 101.87
  5. Step 5: Solve for x
    x = 101.87/9.10
  6. Step 6: Final answer
    x = 11.19

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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.