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Finding the Fourth Proportional to 111.57, 153.78 and 85.25

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Solution

The fourth proportional to 111.57, 153.78 and 85.25 is: 117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.57 : 153.78 = 85.25 : x
  2. Step 2: Convert to fraction form
    111.57/153.78 = 85.25/x
  3. Step 3: Cross multiply
    111.57x = 153.78 × 85.25
  4. Step 4: Simplify right side
    111.57x = 13,109.75
  5. Step 5: Solve for x
    x = 13,109.75/111.57
  6. Step 6: Final answer
    x = 117.50

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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.