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Finding the Fourth Proportional to 116.30, 160.56 and 100.72

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Solution

The fourth proportional to 116.30, 160.56 and 100.72 is: 139.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.30 : 160.56 = 100.72 : x
  2. Step 2: Convert to fraction form
    116.30/160.56 = 100.72/x
  3. Step 3: Cross multiply
    116.30x = 160.56 × 100.72
  4. Step 4: Simplify right side
    116.30x = 16,171.07
  5. Step 5: Solve for x
    x = 16,171.07/116.30
  6. Step 6: Final answer
    x = 139.05

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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.