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Finding the Fourth Proportional to 37.48, 56.14 and 37.02

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Solution

The fourth proportional to 37.48, 56.14 and 37.02 is: 55.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.48 : 56.14 = 37.02 : x
  2. Step 2: Convert to fraction form
    37.48/56.14 = 37.02/x
  3. Step 3: Cross multiply
    37.48x = 56.14 × 37.02
  4. Step 4: Simplify right side
    37.48x = 2,078.30
  5. Step 5: Solve for x
    x = 2,078.30/37.48
  6. Step 6: Final answer
    x = 55.45

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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.