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Finding the Fourth Proportional to 116.17, 174.53 and 75.67

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Solution

The fourth proportional to 116.17, 174.53 and 75.67 is: 113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.17 : 174.53 = 75.67 : x
  2. Step 2: Convert to fraction form
    116.17/174.53 = 75.67/x
  3. Step 3: Cross multiply
    116.17x = 174.53 × 75.67
  4. Step 4: Simplify right side
    116.17x = 13,206.69
  5. Step 5: Solve for x
    x = 13,206.69/116.17
  6. Step 6: Final answer
    x = 113.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.