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Finding the Fourth Proportional to 42.54, 58.66 and 34.78

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Solution

The fourth proportional to 42.54, 58.66 and 34.78 is: 47.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.54 : 58.66 = 34.78 : x
  2. Step 2: Convert to fraction form
    42.54/58.66 = 34.78/x
  3. Step 3: Cross multiply
    42.54x = 58.66 × 34.78
  4. Step 4: Simplify right side
    42.54x = 2,040.19
  5. Step 5: Solve for x
    x = 2,040.19/42.54
  6. Step 6: Final answer
    x = 47.96

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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.