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Finding the Fourth Proportional to 171.17, 256.95 and 75.05

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Solution

The fourth proportional to 171.17, 256.95 and 75.05 is: 112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.17 : 256.95 = 75.05 : x
  2. Step 2: Convert to fraction form
    171.17/256.95 = 75.05/x
  3. Step 3: Cross multiply
    171.17x = 256.95 × 75.05
  4. Step 4: Simplify right side
    171.17x = 19,282.81
  5. Step 5: Solve for x
    x = 19,282.81/171.17
  6. Step 6: Final answer
    x = 112.66

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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.