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Finding the Fourth Proportional to 49.77, 75.24 and 49.77

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Solution

The fourth proportional to 49.77, 75.24 and 49.77 is: 75.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.77 : 75.24 = 49.77 : x
  2. Step 2: Convert to fraction form
    49.77/75.24 = 49.77/x
  3. Step 3: Cross multiply
    49.77x = 75.24 × 49.77
  4. Step 4: Simplify right side
    49.77x = 3,744.69
  5. Step 5: Solve for x
    x = 3,744.69/49.77
  6. Step 6: Final answer
    x = 75.24

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