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Finding the Fourth Proportional to 62.10, 85.70 and 37.54

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Solution

The fourth proportional to 62.10, 85.70 and 37.54 is: 51.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.10 : 85.70 = 37.54 : x
  2. Step 2: Convert to fraction form
    62.10/85.70 = 37.54/x
  3. Step 3: Cross multiply
    62.10x = 85.70 × 37.54
  4. Step 4: Simplify right side
    62.10x = 3,217.18
  5. Step 5: Solve for x
    x = 3,217.18/62.10
  6. Step 6: Final answer
    x = 51.81

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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.