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Finding the Fourth Proportional to 189.48, 284.14 and 91.96

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Solution

The fourth proportional to 189.48, 284.14 and 91.96 is: 137.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.48 : 284.14 = 91.96 : x
  2. Step 2: Convert to fraction form
    189.48/284.14 = 91.96/x
  3. Step 3: Cross multiply
    189.48x = 284.14 × 91.96
  4. Step 4: Simplify right side
    189.48x = 26,129.51
  5. Step 5: Solve for x
    x = 26,129.51/189.48
  6. Step 6: Final answer
    x = 137.90

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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.