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Finding the Fourth Proportional to 85.52, 118.04 and 72.56

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Solution

The fourth proportional to 85.52, 118.04 and 72.56 is: 100.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.52 : 118.04 = 72.56 : x
  2. Step 2: Convert to fraction form
    85.52/118.04 = 72.56/x
  3. Step 3: Cross multiply
    85.52x = 118.04 × 72.56
  4. Step 4: Simplify right side
    85.52x = 8,564.98
  5. Step 5: Solve for x
    x = 8,564.98/85.52
  6. Step 6: Final answer
    x = 100.15

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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.