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Finding the Fourth Proportional to 183.83, 253.68 and 105.12

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Solution

The fourth proportional to 183.83, 253.68 and 105.12 is: 145.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.83 : 253.68 = 105.12 : x
  2. Step 2: Convert to fraction form
    183.83/253.68 = 105.12/x
  3. Step 3: Cross multiply
    183.83x = 253.68 × 105.12
  4. Step 4: Simplify right side
    183.83x = 26,666.84
  5. Step 5: Solve for x
    x = 26,666.84/183.83
  6. Step 6: Final answer
    x = 145.07

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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.