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Finding the Fourth Proportional to 116.54, 159.72 and 114.86

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Solution

The fourth proportional to 116.54, 159.72 and 114.86 is: 157.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.54 : 159.72 = 114.86 : x
  2. Step 2: Convert to fraction form
    116.54/159.72 = 114.86/x
  3. Step 3: Cross multiply
    116.54x = 159.72 × 114.86
  4. Step 4: Simplify right side
    116.54x = 18,345.44
  5. Step 5: Solve for x
    x = 18,345.44/116.54
  6. Step 6: Final answer
    x = 157.42

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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.