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Finding the Fourth Proportional to 10.56, 14.46 and 10.20

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Solution

The fourth proportional to 10.56, 14.46 and 10.20 is: 13.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.56 : 14.46 = 10.20 : x
  2. Step 2: Convert to fraction form
    10.56/14.46 = 10.20/x
  3. Step 3: Cross multiply
    10.56x = 14.46 × 10.20
  4. Step 4: Simplify right side
    10.56x = 147.49
  5. Step 5: Solve for x
    x = 147.49/10.56
  6. Step 6: Final answer
    x = 13.97

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.