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Finding the Fourth Proportional to 189.83, 284.57 and 68.06

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Solution

The fourth proportional to 189.83, 284.57 and 68.06 is: 102.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.83 : 284.57 = 68.06 : x
  2. Step 2: Convert to fraction form
    189.83/284.57 = 68.06/x
  3. Step 3: Cross multiply
    189.83x = 284.57 × 68.06
  4. Step 4: Simplify right side
    189.83x = 19,366.07
  5. Step 5: Solve for x
    x = 19,366.07/189.83
  6. Step 6: Final answer
    x = 102.02

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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.