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Finding the Fourth Proportional to 189.48, 284.17 and 59.44

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Solution

The fourth proportional to 189.48, 284.17 and 59.44 is: 89.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.48 : 284.17 = 59.44 : x
  2. Step 2: Convert to fraction form
    189.48/284.17 = 59.44/x
  3. Step 3: Cross multiply
    189.48x = 284.17 × 59.44
  4. Step 4: Simplify right side
    189.48x = 16,891.06
  5. Step 5: Solve for x
    x = 16,891.06/189.48
  6. Step 6: Final answer
    x = 89.14

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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.