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Finding the Fourth Proportional to 37.45, 51.68 and 21.07

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Solution

The fourth proportional to 37.45, 51.68 and 21.07 is: 29.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.45 : 51.68 = 21.07 : x
  2. Step 2: Convert to fraction form
    37.45/51.68 = 21.07/x
  3. Step 3: Cross multiply
    37.45x = 51.68 × 21.07
  4. Step 4: Simplify right side
    37.45x = 1,088.66
  5. Step 5: Solve for x
    x = 1,088.66/37.45
  6. Step 6: Final answer
    x = 29.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.