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Finding the Fourth Proportional to 114.31, 171.25 and 73.05

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Solution

The fourth proportional to 114.31, 171.25 and 73.05 is: 109.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.31 : 171.25 = 73.05 : x
  2. Step 2: Convert to fraction form
    114.31/171.25 = 73.05/x
  3. Step 3: Cross multiply
    114.31x = 171.25 × 73.05
  4. Step 4: Simplify right side
    114.31x = 12,509.95
  5. Step 5: Solve for x
    x = 12,509.95/114.31
  6. Step 6: Final answer
    x = 109.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.