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Finding the Fourth Proportional to 121.83, 182.57 and 73.10

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Solution

The fourth proportional to 121.83, 182.57 and 73.10 is: 109.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.83 : 182.57 = 73.10 : x
  2. Step 2: Convert to fraction form
    121.83/182.57 = 73.10/x
  3. Step 3: Cross multiply
    121.83x = 182.57 × 73.10
  4. Step 4: Simplify right side
    121.83x = 13,345.87
  5. Step 5: Solve for x
    x = 13,345.87/121.83
  6. Step 6: Final answer
    x = 109.54

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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.