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Finding the Fourth Proportional to 14.66, 22.07 and 12.77

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Solution

The fourth proportional to 14.66, 22.07 and 12.77 is: 19.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.66 : 22.07 = 12.77 : x
  2. Step 2: Convert to fraction form
    14.66/22.07 = 12.77/x
  3. Step 3: Cross multiply
    14.66x = 22.07 × 12.77
  4. Step 4: Simplify right side
    14.66x = 281.83
  5. Step 5: Solve for x
    x = 281.83/14.66
  6. Step 6: Final answer
    x = 19.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.