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Finding the Fourth Proportional to 37.19, 51.10 and 30.98

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Solution

The fourth proportional to 37.19, 51.10 and 30.98 is: 42.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.19 : 51.10 = 30.98 : x
  2. Step 2: Convert to fraction form
    37.19/51.10 = 30.98/x
  3. Step 3: Cross multiply
    37.19x = 51.10 × 30.98
  4. Step 4: Simplify right side
    37.19x = 1,583.13
  5. Step 5: Solve for x
    x = 1,583.13/37.19
  6. Step 6: Final answer
    x = 42.57

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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.