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Finding the Fourth Proportional to 42.46, 58.51 and 30.78

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Solution

The fourth proportional to 42.46, 58.51 and 30.78 is: 42.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.46 : 58.51 = 30.78 : x
  2. Step 2: Convert to fraction form
    42.46/58.51 = 30.78/x
  3. Step 3: Cross multiply
    42.46x = 58.51 × 30.78
  4. Step 4: Simplify right side
    42.46x = 1,800.94
  5. Step 5: Solve for x
    x = 1,800.94/42.46
  6. Step 6: Final answer
    x = 42.41

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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.