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Finding the Fourth Proportional to 12.83, 17.70 and 10.40

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Solution

The fourth proportional to 12.83, 17.70 and 10.40 is: 14.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.83 : 17.70 = 10.40 : x
  2. Step 2: Convert to fraction form
    12.83/17.70 = 10.40/x
  3. Step 3: Cross multiply
    12.83x = 17.70 × 10.40
  4. Step 4: Simplify right side
    12.83x = 183.99
  5. Step 5: Solve for x
    x = 183.99/12.83
  6. Step 6: Final answer
    x = 14.35

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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.