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Finding the Fourth Proportional to 65.89, 98.90 and 47.80

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Solution

The fourth proportional to 65.89, 98.90 and 47.80 is: 71.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.89 : 98.90 = 47.80 : x
  2. Step 2: Convert to fraction form
    65.89/98.90 = 47.80/x
  3. Step 3: Cross multiply
    65.89x = 98.90 × 47.80
  4. Step 4: Simplify right side
    65.89x = 4,726.69
  5. Step 5: Solve for x
    x = 4,726.69/65.89
  6. Step 6: Final answer
    x = 71.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.