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Finding the Fourth Proportional to 58.12, 80.22 and 35.99

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Solution

The fourth proportional to 58.12, 80.22 and 35.99 is: 49.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.12 : 80.22 = 35.99 : x
  2. Step 2: Convert to fraction form
    58.12/80.22 = 35.99/x
  3. Step 3: Cross multiply
    58.12x = 80.22 × 35.99
  4. Step 4: Simplify right side
    58.12x = 2,886.72
  5. Step 5: Solve for x
    x = 2,886.72/58.12
  6. Step 6: Final answer
    x = 49.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.