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Finding the Fourth Proportional to 37.00, 55.29 and 30.24

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Solution

The fourth proportional to 37.00, 55.29 and 30.24 is: 45.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.00 : 55.29 = 30.24 : x
  2. Step 2: Convert to fraction form
    37.00/55.29 = 30.24/x
  3. Step 3: Cross multiply
    37.00x = 55.29 × 30.24
  4. Step 4: Simplify right side
    37.00x = 1,671.82
  5. Step 5: Solve for x
    x = 1,671.82/37.00
  6. Step 6: Final answer
    x = 45.19

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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.