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Finding the Fourth Proportional to 116.08, 160.24 and 79.28

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Solution

The fourth proportional to 116.08, 160.24 and 79.28 is: 109.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.08 : 160.24 = 79.28 : x
  2. Step 2: Convert to fraction form
    116.08/160.24 = 79.28/x
  3. Step 3: Cross multiply
    116.08x = 160.24 × 79.28
  4. Step 4: Simplify right side
    116.08x = 12,703.83
  5. Step 5: Solve for x
    x = 12,703.83/116.08
  6. Step 6: Final answer
    x = 109.44

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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.