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Finding the Fourth Proportional to 14.23, 19.64 and 8.77

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Solution

The fourth proportional to 14.23, 19.64 and 8.77 is: 12.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.23 : 19.64 = 8.77 : x
  2. Step 2: Convert to fraction form
    14.23/19.64 = 8.77/x
  3. Step 3: Cross multiply
    14.23x = 19.64 × 8.77
  4. Step 4: Simplify right side
    14.23x = 172.24
  5. Step 5: Solve for x
    x = 172.24/14.23
  6. Step 6: Final answer
    x = 12.10

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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.