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Finding the Fourth Proportional to 12.90, 17.77 and 10.02

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Solution

The fourth proportional to 12.90, 17.77 and 10.02 is: 13.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.90 : 17.77 = 10.02 : x
  2. Step 2: Convert to fraction form
    12.90/17.77 = 10.02/x
  3. Step 3: Cross multiply
    12.90x = 17.77 × 10.02
  4. Step 4: Simplify right side
    12.90x = 178.06
  5. Step 5: Solve for x
    x = 178.06/12.90
  6. Step 6: Final answer
    x = 13.80

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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.