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Finding the Fourth Proportional to 42.21, 58.29 and 26.70

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Solution

The fourth proportional to 42.21, 58.29 and 26.70 is: 36.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.21 : 58.29 = 26.70 : x
  2. Step 2: Convert to fraction form
    42.21/58.29 = 26.70/x
  3. Step 3: Cross multiply
    42.21x = 58.29 × 26.70
  4. Step 4: Simplify right side
    42.21x = 1,556.02
  5. Step 5: Solve for x
    x = 1,556.02/42.21
  6. Step 6: Final answer
    x = 36.86

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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.