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Finding the Fourth Proportional to 37.59, 51.78 and 37.14

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Solution

The fourth proportional to 37.59, 51.78 and 37.14 is: 51.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.59 : 51.78 = 37.14 : x
  2. Step 2: Convert to fraction form
    37.59/51.78 = 37.14/x
  3. Step 3: Cross multiply
    37.59x = 51.78 × 37.14
  4. Step 4: Simplify right side
    37.59x = 1,923.11
  5. Step 5: Solve for x
    x = 1,923.11/37.59
  6. Step 6: Final answer
    x = 51.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.