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Finding the Fourth Proportional to 15.77, 21.76 and 8.86

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Solution

The fourth proportional to 15.77, 21.76 and 8.86 is: 12.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.77 : 21.76 = 8.86 : x
  2. Step 2: Convert to fraction form
    15.77/21.76 = 8.86/x
  3. Step 3: Cross multiply
    15.77x = 21.76 × 8.86
  4. Step 4: Simplify right side
    15.77x = 192.83
  5. Step 5: Solve for x
    x = 192.83/15.77
  6. Step 6: Final answer
    x = 12.23

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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.