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Finding the Fourth Proportional to 42.69, 58.59 and 42.03

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Solution

The fourth proportional to 42.69, 58.59 and 42.03 is: 57.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.69 : 58.59 = 42.03 : x
  2. Step 2: Convert to fraction form
    42.69/58.59 = 42.03/x
  3. Step 3: Cross multiply
    42.69x = 58.59 × 42.03
  4. Step 4: Simplify right side
    42.69x = 2,462.54
  5. Step 5: Solve for x
    x = 2,462.54/42.69
  6. Step 6: Final answer
    x = 57.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.