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Finding the Fourth Proportional to 37.32, 55.38 and 37.02

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Solution

The fourth proportional to 37.32, 55.38 and 37.02 is: 54.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.32 : 55.38 = 37.02 : x
  2. Step 2: Convert to fraction form
    37.32/55.38 = 37.02/x
  3. Step 3: Cross multiply
    37.32x = 55.38 × 37.02
  4. Step 4: Simplify right side
    37.32x = 2,050.17
  5. Step 5: Solve for x
    x = 2,050.17/37.32
  6. Step 6: Final answer
    x = 54.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.