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Finding the Fourth Proportional to 62.50, 86.19 and 50.86

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Solution

The fourth proportional to 62.50, 86.19 and 50.86 is: 70.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.50 : 86.19 = 50.86 : x
  2. Step 2: Convert to fraction form
    62.50/86.19 = 50.86/x
  3. Step 3: Cross multiply
    62.50x = 86.19 × 50.86
  4. Step 4: Simplify right side
    62.50x = 4,383.62
  5. Step 5: Solve for x
    x = 4,383.62/62.50
  6. Step 6: Final answer
    x = 70.14

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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.