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Finding the Fourth Proportional to 10.23, 14.10 and 9.30

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Solution

The fourth proportional to 10.23, 14.10 and 9.30 is: 12.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.23 : 14.10 = 9.30 : x
  2. Step 2: Convert to fraction form
    10.23/14.10 = 9.30/x
  3. Step 3: Cross multiply
    10.23x = 14.10 × 9.30
  4. Step 4: Simplify right side
    10.23x = 131.13
  5. Step 5: Solve for x
    x = 131.13/10.23
  6. Step 6: Final answer
    x = 12.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.