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Finding the Fourth Proportional to 42.58, 58.71 and 41.68

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Solution

The fourth proportional to 42.58, 58.71 and 41.68 is: 57.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.58 : 58.71 = 41.68 : x
  2. Step 2: Convert to fraction form
    42.58/58.71 = 41.68/x
  3. Step 3: Cross multiply
    42.58x = 58.71 × 41.68
  4. Step 4: Simplify right side
    42.58x = 2,447.03
  5. Step 5: Solve for x
    x = 2,447.03/42.58
  6. Step 6: Final answer
    x = 57.47

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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.