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Finding the Fourth Proportional to 37.05, 55.42 and 32.17

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Solution

The fourth proportional to 37.05, 55.42 and 32.17 is: 48.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.05 : 55.42 = 32.17 : x
  2. Step 2: Convert to fraction form
    37.05/55.42 = 32.17/x
  3. Step 3: Cross multiply
    37.05x = 55.42 × 32.17
  4. Step 4: Simplify right side
    37.05x = 1,782.86
  5. Step 5: Solve for x
    x = 1,782.86/37.05
  6. Step 6: Final answer
    x = 48.12

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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.