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Finding the Fourth Proportional to 49.37, 74.10 and 49.16

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Solution

The fourth proportional to 49.37, 74.10 and 49.16 is: 73.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.37 : 74.10 = 49.16 : x
  2. Step 2: Convert to fraction form
    49.37/74.10 = 49.16/x
  3. Step 3: Cross multiply
    49.37x = 74.10 × 49.16
  4. Step 4: Simplify right side
    49.37x = 3,642.76
  5. Step 5: Solve for x
    x = 3,642.76/49.37
  6. Step 6: Final answer
    x = 73.78

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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.