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Finding the Fourth Proportional to 116.29, 174.24 and 75.72

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Solution

The fourth proportional to 116.29, 174.24 and 75.72 is: 113.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.29 : 174.24 = 75.72 : x
  2. Step 2: Convert to fraction form
    116.29/174.24 = 75.72/x
  3. Step 3: Cross multiply
    116.29x = 174.24 × 75.72
  4. Step 4: Simplify right side
    116.29x = 13,193.45
  5. Step 5: Solve for x
    x = 13,193.45/116.29
  6. Step 6: Final answer
    x = 113.45

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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.