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Finding the Fourth Proportional to 10.23, 14.11 and 9.32

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Solution

The fourth proportional to 10.23, 14.11 and 9.32 is: 12.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.23 : 14.11 = 9.32 : x
  2. Step 2: Convert to fraction form
    10.23/14.11 = 9.32/x
  3. Step 3: Cross multiply
    10.23x = 14.11 × 9.32
  4. Step 4: Simplify right side
    10.23x = 131.51
  5. Step 5: Solve for x
    x = 131.51/10.23
  6. Step 6: Final answer
    x = 12.85

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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.