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Finding the Fourth Proportional to 10.35, 14.24 and 9.21

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Solution

The fourth proportional to 10.35, 14.24 and 9.21 is: 12.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.35 : 14.24 = 9.21 : x
  2. Step 2: Convert to fraction form
    10.35/14.24 = 9.21/x
  3. Step 3: Cross multiply
    10.35x = 14.24 × 9.21
  4. Step 4: Simplify right side
    10.35x = 131.17
  5. Step 5: Solve for x
    x = 131.17/10.35
  6. Step 6: Final answer
    x = 12.67

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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.