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Finding the Fourth Proportional to 12.66, 19.00 and 5.06

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Solution

The fourth proportional to 12.66, 19.00 and 5.06 is: 7.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.66 : 19.00 = 5.06 : x
  2. Step 2: Convert to fraction form
    12.66/19.00 = 5.06/x
  3. Step 3: Cross multiply
    12.66x = 19.00 × 5.06
  4. Step 4: Simplify right side
    12.66x = 96.03
  5. Step 5: Solve for x
    x = 96.03/12.66
  6. Step 6: Final answer
    x = 7.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.