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Finding the Fourth Proportional to 15.66, 21.59 and 11.77

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Solution

The fourth proportional to 15.66, 21.59 and 11.77 is: 16.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.66 : 21.59 = 11.77 : x
  2. Step 2: Convert to fraction form
    15.66/21.59 = 11.77/x
  3. Step 3: Cross multiply
    15.66x = 21.59 × 11.77
  4. Step 4: Simplify right side
    15.66x = 254.11
  5. Step 5: Solve for x
    x = 254.11/15.66
  6. Step 6: Final answer
    x = 16.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.