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Finding the Fourth Proportional to 56.09, 83.94 and 42.49

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Solution

The fourth proportional to 56.09, 83.94 and 42.49 is: 63.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.09 : 83.94 = 42.49 : x
  2. Step 2: Convert to fraction form
    56.09/83.94 = 42.49/x
  3. Step 3: Cross multiply
    56.09x = 83.94 × 42.49
  4. Step 4: Simplify right side
    56.09x = 3,566.19
  5. Step 5: Solve for x
    x = 3,566.19/56.09
  6. Step 6: Final answer
    x = 63.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.