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Finding the Fourth Proportional to 160.59, 241.12 and 99.54

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Solution

The fourth proportional to 160.59, 241.12 and 99.54 is: 149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.59 : 241.12 = 99.54 : x
  2. Step 2: Convert to fraction form
    160.59/241.12 = 99.54/x
  3. Step 3: Cross multiply
    160.59x = 241.12 × 99.54
  4. Step 4: Simplify right side
    160.59x = 24,000.20
  5. Step 5: Solve for x
    x = 24,000.20/160.59
  6. Step 6: Final answer
    x = 149.45

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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.