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Finding the Fourth Proportional to 66.12, 98.80 and 48.82

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Solution

The fourth proportional to 66.12, 98.80 and 48.82 is: 72.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.12 : 98.80 = 48.82 : x
  2. Step 2: Convert to fraction form
    66.12/98.80 = 48.82/x
  3. Step 3: Cross multiply
    66.12x = 98.80 × 48.82
  4. Step 4: Simplify right side
    66.12x = 4,823.69
  5. Step 5: Solve for x
    x = 4,823.69/66.12
  6. Step 6: Final answer
    x = 72.95

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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.