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Finding the Fourth Proportional to 42.13, 58.14 and 25.78

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Solution

The fourth proportional to 42.13, 58.14 and 25.78 is: 35.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.13 : 58.14 = 25.78 : x
  2. Step 2: Convert to fraction form
    42.13/58.14 = 25.78/x
  3. Step 3: Cross multiply
    42.13x = 58.14 × 25.78
  4. Step 4: Simplify right side
    42.13x = 1,498.72
  5. Step 5: Solve for x
    x = 1,498.72/42.13
  6. Step 6: Final answer
    x = 35.58

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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.