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Finding the Fourth Proportional to 10.16, 15.28 and 8.28

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Solution

The fourth proportional to 10.16, 15.28 and 8.28 is: 12.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.16 : 15.28 = 8.28 : x
  2. Step 2: Convert to fraction form
    10.16/15.28 = 8.28/x
  3. Step 3: Cross multiply
    10.16x = 15.28 × 8.28
  4. Step 4: Simplify right side
    10.16x = 126.52
  5. Step 5: Solve for x
    x = 126.52/10.16
  6. Step 6: Final answer
    x = 12.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.