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Finding the Fourth Proportional to 171.14, 256.64 and 90.02

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Solution

The fourth proportional to 171.14, 256.64 and 90.02 is: 134.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.14 : 256.64 = 90.02 : x
  2. Step 2: Convert to fraction form
    171.14/256.64 = 90.02/x
  3. Step 3: Cross multiply
    171.14x = 256.64 × 90.02
  4. Step 4: Simplify right side
    171.14x = 23,102.73
  5. Step 5: Solve for x
    x = 23,102.73/171.14
  6. Step 6: Final answer
    x = 134.99

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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.