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Finding the Fourth Proportional to 62.30, 85.96 and 36.07

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Solution

The fourth proportional to 62.30, 85.96 and 36.07 is: 49.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.30 : 85.96 = 36.07 : x
  2. Step 2: Convert to fraction form
    62.30/85.96 = 36.07/x
  3. Step 3: Cross multiply
    62.30x = 85.96 × 36.07
  4. Step 4: Simplify right side
    62.30x = 3,100.40
  5. Step 5: Solve for x
    x = 3,100.40/62.30
  6. Step 6: Final answer
    x = 49.77

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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.