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Finding the Fourth Proportional to 76.52, 105.61 and 48.95

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Solution

The fourth proportional to 76.52, 105.61 and 48.95 is: 67.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.52 : 105.61 = 48.95 : x
  2. Step 2: Convert to fraction form
    76.52/105.61 = 48.95/x
  3. Step 3: Cross multiply
    76.52x = 105.61 × 48.95
  4. Step 4: Simplify right side
    76.52x = 5,170.04
  5. Step 5: Solve for x
    x = 5,170.04/76.52
  6. Step 6: Final answer
    x = 67.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.