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Finding the Fourth Proportional to 61.70, 85.08 and 45.37

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Solution

The fourth proportional to 61.70, 85.08 and 45.37 is: 62.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.70 : 85.08 = 45.37 : x
  2. Step 2: Convert to fraction form
    61.70/85.08 = 45.37/x
  3. Step 3: Cross multiply
    61.70x = 85.08 × 45.37
  4. Step 4: Simplify right side
    61.70x = 3,859.65
  5. Step 5: Solve for x
    x = 3,859.65/61.70
  6. Step 6: Final answer
    x = 62.56

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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.