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Finding the Fourth Proportional to 115.88, 174.63 and 109.26

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Solution

The fourth proportional to 115.88, 174.63 and 109.26 is: 164.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.88 : 174.63 = 109.26 : x
  2. Step 2: Convert to fraction form
    115.88/174.63 = 109.26/x
  3. Step 3: Cross multiply
    115.88x = 174.63 × 109.26
  4. Step 4: Simplify right side
    115.88x = 19,080.07
  5. Step 5: Solve for x
    x = 19,080.07/115.88
  6. Step 6: Final answer
    x = 164.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.