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Finding the Fourth Proportional to 42.48, 62.82 and 42.48

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Solution

The fourth proportional to 42.48, 62.82 and 42.48 is: 62.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.48 : 62.82 = 42.48 : x
  2. Step 2: Convert to fraction form
    42.48/62.82 = 42.48/x
  3. Step 3: Cross multiply
    42.48x = 62.82 × 42.48
  4. Step 4: Simplify right side
    42.48x = 2,668.59
  5. Step 5: Solve for x
    x = 2,668.59/42.48
  6. Step 6: Final answer
    x = 62.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.