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Finding the Fourth Proportional to 160.58, 221.70 and 105.42

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Solution

The fourth proportional to 160.58, 221.70 and 105.42 is: 145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.58 : 221.70 = 105.42 : x
  2. Step 2: Convert to fraction form
    160.58/221.70 = 105.42/x
  3. Step 3: Cross multiply
    160.58x = 221.70 × 105.42
  4. Step 4: Simplify right side
    160.58x = 23,371.61
  5. Step 5: Solve for x
    x = 23,371.61/160.58
  6. Step 6: Final answer
    x = 145.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.