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Finding the Fourth Proportional to 49.74, 75.06 and 49.20

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Solution

The fourth proportional to 49.74, 75.06 and 49.20 is: 74.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.74 : 75.06 = 49.20 : x
  2. Step 2: Convert to fraction form
    49.74/75.06 = 49.20/x
  3. Step 3: Cross multiply
    49.74x = 75.06 × 49.20
  4. Step 4: Simplify right side
    49.74x = 3,692.95
  5. Step 5: Solve for x
    x = 3,692.95/49.74
  6. Step 6: Final answer
    x = 74.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.