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Finding the Fourth Proportional to 37.13, 51.01 and 30.65

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Solution

The fourth proportional to 37.13, 51.01 and 30.65 is: 42.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.13 : 51.01 = 30.65 : x
  2. Step 2: Convert to fraction form
    37.13/51.01 = 30.65/x
  3. Step 3: Cross multiply
    37.13x = 51.01 × 30.65
  4. Step 4: Simplify right side
    37.13x = 1,563.46
  5. Step 5: Solve for x
    x = 1,563.46/37.13
  6. Step 6: Final answer
    x = 42.11

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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.