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Finding the Fourth Proportional to 189.67, 284.48 and 61.42

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Solution

The fourth proportional to 189.67, 284.48 and 61.42 is: 92.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.67 : 284.48 = 61.42 : x
  2. Step 2: Convert to fraction form
    189.67/284.48 = 61.42/x
  3. Step 3: Cross multiply
    189.67x = 284.48 × 61.42
  4. Step 4: Simplify right side
    189.67x = 17,472.81
  5. Step 5: Solve for x
    x = 17,472.81/189.67
  6. Step 6: Final answer
    x = 92.12

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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.