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Finding the Fourth Proportional to 62.89, 94.37 and 42.59

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Solution

The fourth proportional to 62.89, 94.37 and 42.59 is: 63.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.89 : 94.37 = 42.59 : x
  2. Step 2: Convert to fraction form
    62.89/94.37 = 42.59/x
  3. Step 3: Cross multiply
    62.89x = 94.37 × 42.59
  4. Step 4: Simplify right side
    62.89x = 4,019.24
  5. Step 5: Solve for x
    x = 4,019.24/62.89
  6. Step 6: Final answer
    x = 63.91

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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.