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Finding the Fourth Proportional to 189.50, 284.16 and 81.24

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Solution

The fourth proportional to 189.50, 284.16 and 81.24 is: 121.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.50 : 284.16 = 81.24 : x
  2. Step 2: Convert to fraction form
    189.50/284.16 = 81.24/x
  3. Step 3: Cross multiply
    189.50x = 284.16 × 81.24
  4. Step 4: Simplify right side
    189.50x = 23,085.16
  5. Step 5: Solve for x
    x = 23,085.16/189.50
  6. Step 6: Final answer
    x = 121.82

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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.