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Finding the Fourth Proportional to 49.09, 73.50 and 40.18

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Solution

The fourth proportional to 49.09, 73.50 and 40.18 is: 60.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.09 : 73.50 = 40.18 : x
  2. Step 2: Convert to fraction form
    49.09/73.50 = 40.18/x
  3. Step 3: Cross multiply
    49.09x = 73.50 × 40.18
  4. Step 4: Simplify right side
    49.09x = 2,953.23
  5. Step 5: Solve for x
    x = 2,953.23/49.09
  6. Step 6: Final answer
    x = 60.16

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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.