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Finding the Fourth Proportional to 45.08, 67.56 and 24.80

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Solution

The fourth proportional to 45.08, 67.56 and 24.80 is: 37.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.08 : 67.56 = 24.80 : x
  2. Step 2: Convert to fraction form
    45.08/67.56 = 24.80/x
  3. Step 3: Cross multiply
    45.08x = 67.56 × 24.80
  4. Step 4: Simplify right side
    45.08x = 1,675.49
  5. Step 5: Solve for x
    x = 1,675.49/45.08
  6. Step 6: Final answer
    x = 37.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.