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Finding the Fourth Proportional to 37.00, 55.21 and 32.95

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Solution

The fourth proportional to 37.00, 55.21 and 32.95 is: 49.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.00 : 55.21 = 32.95 : x
  2. Step 2: Convert to fraction form
    37.00/55.21 = 32.95/x
  3. Step 3: Cross multiply
    37.00x = 55.21 × 32.95
  4. Step 4: Simplify right side
    37.00x = 1,818.89
  5. Step 5: Solve for x
    x = 1,818.89/37.00
  6. Step 6: Final answer
    x = 49.17

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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.