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Finding the Fourth Proportional to 116.76, 161.34 and 111.14

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Solution

The fourth proportional to 116.76, 161.34 and 111.14 is: 153.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.76 : 161.34 = 111.14 : x
  2. Step 2: Convert to fraction form
    116.76/161.34 = 111.14/x
  3. Step 3: Cross multiply
    116.76x = 161.34 × 111.14
  4. Step 4: Simplify right side
    116.76x = 17,931.33
  5. Step 5: Solve for x
    x = 17,931.33/116.76
  6. Step 6: Final answer
    x = 153.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.