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Finding the Fourth Proportional to 116.03, 160.04 and 74.56

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Solution

The fourth proportional to 116.03, 160.04 and 74.56 is: 102.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.03 : 160.04 = 74.56 : x
  2. Step 2: Convert to fraction form
    116.03/160.04 = 74.56/x
  3. Step 3: Cross multiply
    116.03x = 160.04 × 74.56
  4. Step 4: Simplify right side
    116.03x = 11,932.58
  5. Step 5: Solve for x
    x = 11,932.58/116.03
  6. Step 6: Final answer
    x = 102.84

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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.