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Finding the Fourth Proportional to 49.98, 74.19 and 49.53

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Solution

The fourth proportional to 49.98, 74.19 and 49.53 is: 73.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.98 : 74.19 = 49.53 : x
  2. Step 2: Convert to fraction form
    49.98/74.19 = 49.53/x
  3. Step 3: Cross multiply
    49.98x = 74.19 × 49.53
  4. Step 4: Simplify right side
    49.98x = 3,674.63
  5. Step 5: Solve for x
    x = 3,674.63/49.98
  6. Step 6: Final answer
    x = 73.52

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.