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Finding the Fourth Proportional to 37.73, 56.59 and 34.14

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Solution

The fourth proportional to 37.73, 56.59 and 34.14 is: 51.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.73 : 56.59 = 34.14 : x
  2. Step 2: Convert to fraction form
    37.73/56.59 = 34.14/x
  3. Step 3: Cross multiply
    37.73x = 56.59 × 34.14
  4. Step 4: Simplify right side
    37.73x = 1,931.90
  5. Step 5: Solve for x
    x = 1,931.90/37.73
  6. Step 6: Final answer
    x = 51.20

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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.