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Finding the Fourth Proportional to 116.70, 174.72 and 110.82

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Solution

The fourth proportional to 116.70, 174.72 and 110.82 is: 165.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.70 : 174.72 = 110.82 : x
  2. Step 2: Convert to fraction form
    116.70/174.72 = 110.82/x
  3. Step 3: Cross multiply
    116.70x = 174.72 × 110.82
  4. Step 4: Simplify right side
    116.70x = 19,362.47
  5. Step 5: Solve for x
    x = 19,362.47/116.70
  6. Step 6: Final answer
    x = 165.92

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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.