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Finding the Fourth Proportional to 116.88, 160.32 and 114.87

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Solution

The fourth proportional to 116.88, 160.32 and 114.87 is: 157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.88 : 160.32 = 114.87 : x
  2. Step 2: Convert to fraction form
    116.88/160.32 = 114.87/x
  3. Step 3: Cross multiply
    116.88x = 160.32 × 114.87
  4. Step 4: Simplify right side
    116.88x = 18,415.96
  5. Step 5: Solve for x
    x = 18,415.96/116.88
  6. Step 6: Final answer
    x = 157.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.