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Finding the Fourth Proportional to 62.54, 93.81 and 30.50

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Solution

The fourth proportional to 62.54, 93.81 and 30.50 is: 45.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.54 : 93.81 = 30.50 : x
  2. Step 2: Convert to fraction form
    62.54/93.81 = 30.50/x
  3. Step 3: Cross multiply
    62.54x = 93.81 × 30.50
  4. Step 4: Simplify right side
    62.54x = 2,861.21
  5. Step 5: Solve for x
    x = 2,861.21/62.54
  6. Step 6: Final answer
    x = 45.75

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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.