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Finding the Fourth Proportional to 114.79, 172.20 and 49.82

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Solution

The fourth proportional to 114.79, 172.20 and 49.82 is: 74.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.79 : 172.20 = 49.82 : x
  2. Step 2: Convert to fraction form
    114.79/172.20 = 49.82/x
  3. Step 3: Cross multiply
    114.79x = 172.20 × 49.82
  4. Step 4: Simplify right side
    114.79x = 8,578.19
  5. Step 5: Solve for x
    x = 8,578.19/114.79
  6. Step 6: Final answer
    x = 74.73

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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.