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Finding the Fourth Proportional to 10.86, 16.29 and 4.10

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Solution

The fourth proportional to 10.86, 16.29 and 4.10 is: 6.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.86 : 16.29 = 4.10 : x
  2. Step 2: Convert to fraction form
    10.86/16.29 = 4.10/x
  3. Step 3: Cross multiply
    10.86x = 16.29 × 4.10
  4. Step 4: Simplify right side
    10.86x = 66.79
  5. Step 5: Solve for x
    x = 66.79/10.86
  6. Step 6: Final answer
    x = 6.15

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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.