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Finding the Fourth Proportional to 115.26, 159.27 and 109.64

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Solution

The fourth proportional to 115.26, 159.27 and 109.64 is: 151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.26 : 159.27 = 109.64 : x
  2. Step 2: Convert to fraction form
    115.26/159.27 = 109.64/x
  3. Step 3: Cross multiply
    115.26x = 159.27 × 109.64
  4. Step 4: Simplify right side
    115.26x = 17,461.57
  5. Step 5: Solve for x
    x = 17,461.57/115.26
  6. Step 6: Final answer
    x = 151.50

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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.