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Finding the Fourth Proportional to 42.10, 58.12 and 30.46

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Solution

The fourth proportional to 42.10, 58.12 and 30.46 is: 42.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.10 : 58.12 = 30.46 : x
  2. Step 2: Convert to fraction form
    42.10/58.12 = 30.46/x
  3. Step 3: Cross multiply
    42.10x = 58.12 × 30.46
  4. Step 4: Simplify right side
    42.10x = 1,770.34
  5. Step 5: Solve for x
    x = 1,770.34/42.10
  6. Step 6: Final answer
    x = 42.05

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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.