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Finding the Fourth Proportional to 116.54, 160.89 and 77.75

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Solution

The fourth proportional to 116.54, 160.89 and 77.75 is: 107.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.54 : 160.89 = 77.75 : x
  2. Step 2: Convert to fraction form
    116.54/160.89 = 77.75/x
  3. Step 3: Cross multiply
    116.54x = 160.89 × 77.75
  4. Step 4: Simplify right side
    116.54x = 12,509.20
  5. Step 5: Solve for x
    x = 12,509.20/116.54
  6. Step 6: Final answer
    x = 107.34

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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.