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Finding the Fourth Proportional to 116.54, 160.73 and 75.06

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Solution

The fourth proportional to 116.54, 160.73 and 75.06 is: 103.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.54 : 160.73 = 75.06 : x
  2. Step 2: Convert to fraction form
    116.54/160.73 = 75.06/x
  3. Step 3: Cross multiply
    116.54x = 160.73 × 75.06
  4. Step 4: Simplify right side
    116.54x = 12,064.90
  5. Step 5: Solve for x
    x = 12,064.90/116.54
  6. Step 6: Final answer
    x = 103.53

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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.