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Finding the Fourth Proportional to 115.52, 171.90 and 112.28

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Solution

The fourth proportional to 115.52, 171.90 and 112.28 is: 167.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.52 : 171.90 = 112.28 : x
  2. Step 2: Convert to fraction form
    115.52/171.90 = 112.28/x
  3. Step 3: Cross multiply
    115.52x = 171.90 × 112.28
  4. Step 4: Simplify right side
    115.52x = 19,300.07
  5. Step 5: Solve for x
    x = 19,300.07/115.52
  6. Step 6: Final answer
    x = 167.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.