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Finding the Fourth Proportional to 160.84, 241.14 and 100

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Solution

The fourth proportional to 160.84, 241.14 and 100 is: 149.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.84 : 241.14 = 100 : x
  2. Step 2: Convert to fraction form
    160.84/241.14 = 100/x
  3. Step 3: Cross multiply
    160.84x = 241.14 × 100
  4. Step 4: Simplify right side
    160.84x = 24,114
  5. Step 5: Solve for x
    x = 24,114/160.84
  6. Step 6: Final answer
    x = 149.93

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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.