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Finding the Fourth Proportional to 30.58, 41.90 and 30.46

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Solution

The fourth proportional to 30.58, 41.90 and 30.46 is: 41.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.58 : 41.90 = 30.46 : x
  2. Step 2: Convert to fraction form
    30.58/41.90 = 30.46/x
  3. Step 3: Cross multiply
    30.58x = 41.90 × 30.46
  4. Step 4: Simplify right side
    30.58x = 1,276.27
  5. Step 5: Solve for x
    x = 1,276.27/30.58
  6. Step 6: Final answer
    x = 41.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.