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Finding the Fourth Proportional to 149.55, 224.57 and 85.47

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Solution

The fourth proportional to 149.55, 224.57 and 85.47 is: 128.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.55 : 224.57 = 85.47 : x
  2. Step 2: Convert to fraction form
    149.55/224.57 = 85.47/x
  3. Step 3: Cross multiply
    149.55x = 224.57 × 85.47
  4. Step 4: Simplify right side
    149.55x = 19,193.57
  5. Step 5: Solve for x
    x = 19,193.57/149.55
  6. Step 6: Final answer
    x = 128.34

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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.