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Finding the Fourth Proportional to 10.37, 14.36 and 8.10

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Solution

The fourth proportional to 10.37, 14.36 and 8.10 is: 11.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.37 : 14.36 = 8.10 : x
  2. Step 2: Convert to fraction form
    10.37/14.36 = 8.10/x
  3. Step 3: Cross multiply
    10.37x = 14.36 × 8.10
  4. Step 4: Simplify right side
    10.37x = 116.28
  5. Step 5: Solve for x
    x = 116.28/10.37
  6. Step 6: Final answer
    x = 11.21

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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.