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Finding the Fourth Proportional to 171, 256.64 and 89.87

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Solution

The fourth proportional to 171, 256.64 and 89.87 is: 134.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    171 : 256.64 = 89.87 : x
  2. Step 2: Convert to fraction form
    171/256.64 = 89.87/x
  3. Step 3: Cross multiply
    171x = 256.64 × 89.87
  4. Step 4: Simplify right side
    171x = 23,062.50
  5. Step 5: Solve for x
    x = 23,062.50/171
  6. Step 6: Final answer
    x = 134.87

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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.