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Finding the Fourth Proportional to 37.65, 56.42 and 30.06

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Solution

The fourth proportional to 37.65, 56.42 and 30.06 is: 45.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.65 : 56.42 = 30.06 : x
  2. Step 2: Convert to fraction form
    37.65/56.42 = 30.06/x
  3. Step 3: Cross multiply
    37.65x = 56.42 × 30.06
  4. Step 4: Simplify right side
    37.65x = 1,695.95
  5. Step 5: Solve for x
    x = 1,695.95/37.65
  6. Step 6: Final answer
    x = 45.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.