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Finding the Fourth Proportional to 121.54, 183 and 85.70

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Solution

The fourth proportional to 121.54, 183 and 85.70 is: 129.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.54 : 183 = 85.70 : x
  2. Step 2: Convert to fraction form
    121.54/183 = 85.70/x
  3. Step 3: Cross multiply
    121.54x = 183 × 85.70
  4. Step 4: Simplify right side
    121.54x = 15,683.10
  5. Step 5: Solve for x
    x = 15,683.10/121.54
  6. Step 6: Final answer
    x = 129.04

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Why These Related Problems?

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