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Finding the Fourth Proportional to 37.55, 56.43 and 30.04

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Solution

The fourth proportional to 37.55, 56.43 and 30.04 is: 45.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.55 : 56.43 = 30.04 : x
  2. Step 2: Convert to fraction form
    37.55/56.43 = 30.04/x
  3. Step 3: Cross multiply
    37.55x = 56.43 × 30.04
  4. Step 4: Simplify right side
    37.55x = 1,695.02
  5. Step 5: Solve for x
    x = 1,695.02/37.55
  6. Step 6: Final answer
    x = 45.14

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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.