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Finding the Fourth Proportional to 37.45, 56.05 and 30.16

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Solution

The fourth proportional to 37.45, 56.05 and 30.16 is: 45.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.45 : 56.05 = 30.16 : x
  2. Step 2: Convert to fraction form
    37.45/56.05 = 30.16/x
  3. Step 3: Cross multiply
    37.45x = 56.05 × 30.16
  4. Step 4: Simplify right side
    37.45x = 1,690.19
  5. Step 5: Solve for x
    x = 1,690.19/37.45
  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.