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Finding the Fourth Proportional to 50.02, 74.56 and 48.85

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Solution

The fourth proportional to 50.02, 74.56 and 48.85 is: 72.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.02 : 74.56 = 48.85 : x
  2. Step 2: Convert to fraction form
    50.02/74.56 = 48.85/x
  3. Step 3: Cross multiply
    50.02x = 74.56 × 48.85
  4. Step 4: Simplify right side
    50.02x = 3,642.26
  5. Step 5: Solve for x
    x = 3,642.26/50.02
  6. Step 6: Final answer
    x = 72.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.