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Finding the Fourth Proportional to 37.08, 55.19 and 37.01

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Solution

The fourth proportional to 37.08, 55.19 and 37.01 is: 55.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.08 : 55.19 = 37.01 : x
  2. Step 2: Convert to fraction form
    37.08/55.19 = 37.01/x
  3. Step 3: Cross multiply
    37.08x = 55.19 × 37.01
  4. Step 4: Simplify right side
    37.08x = 2,042.12
  5. Step 5: Solve for x
    x = 2,042.12/37.08
  6. Step 6: Final answer
    x = 55.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.