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Finding the Fourth Proportional to 116.53, 160.76 and 75.11

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Solution

The fourth proportional to 116.53, 160.76 and 75.11 is: 103.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.53 : 160.76 = 75.11 : x
  2. Step 2: Convert to fraction form
    116.53/160.76 = 75.11/x
  3. Step 3: Cross multiply
    116.53x = 160.76 × 75.11
  4. Step 4: Simplify right side
    116.53x = 12,073.50
  5. Step 5: Solve for x
    x = 12,073.50/116.53
  6. Step 6: Final answer
    x = 103.61

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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.