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Finding the Fourth Proportional to 121.52, 182.40 and 73.46

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Solution

The fourth proportional to 121.52, 182.40 and 73.46 is: 110.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.52 : 182.40 = 73.46 : x
  2. Step 2: Convert to fraction form
    121.52/182.40 = 73.46/x
  3. Step 3: Cross multiply
    121.52x = 182.40 × 73.46
  4. Step 4: Simplify right side
    121.52x = 13,399.10
  5. Step 5: Solve for x
    x = 13,399.10/121.52
  6. Step 6: Final answer
    x = 110.26

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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.