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Finding the Fourth Proportional to 160.53, 240.84 and 44.98

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Solution

The fourth proportional to 160.53, 240.84 and 44.98 is: 67.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.53 : 240.84 = 44.98 : x
  2. Step 2: Convert to fraction form
    160.53/240.84 = 44.98/x
  3. Step 3: Cross multiply
    160.53x = 240.84 × 44.98
  4. Step 4: Simplify right side
    160.53x = 10,833.18
  5. Step 5: Solve for x
    x = 10,833.18/160.53
  6. Step 6: Final answer
    x = 67.48

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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.