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Finding the Fourth Proportional to 385.73, 578.54 and 108.11

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Solution

The fourth proportional to 385.73, 578.54 and 108.11 is: 162.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.73 : 578.54 = 108.11 : x
  2. Step 2: Convert to fraction form
    385.73/578.54 = 108.11/x
  3. Step 3: Cross multiply
    385.73x = 578.54 × 108.11
  4. Step 4: Simplify right side
    385.73x = 62,542.53
  5. Step 5: Solve for x
    x = 62,542.53/385.73
  6. Step 6: Final answer
    x = 162.14

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Why These Related Problems?

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