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Finding the Fourth Proportional to 116.64, 162.05 and 115.58

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Solution

The fourth proportional to 116.64, 162.05 and 115.58 is: 160.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.64 : 162.05 = 115.58 : x
  2. Step 2: Convert to fraction form
    116.64/162.05 = 115.58/x
  3. Step 3: Cross multiply
    116.64x = 162.05 × 115.58
  4. Step 4: Simplify right side
    116.64x = 18,729.57
  5. Step 5: Solve for x
    x = 18,729.57/116.64
  6. Step 6: Final answer
    x = 160.58

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.