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Finding the Fourth Proportional to 45.24, 68.18 and 38.57

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Solution

The fourth proportional to 45.24, 68.18 and 38.57 is: 58.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.24 : 68.18 = 38.57 : x
  2. Step 2: Convert to fraction form
    45.24/68.18 = 38.57/x
  3. Step 3: Cross multiply
    45.24x = 68.18 × 38.57
  4. Step 4: Simplify right side
    45.24x = 2,629.17
  5. Step 5: Solve for x
    x = 2,629.17/45.24
  6. Step 6: Final answer
    x = 58.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.