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Finding the Fourth Proportional to 171.61, 257.56 and 90.51

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Solution

The fourth proportional to 171.61, 257.56 and 90.51 is: 135.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.61 : 257.56 = 90.51 : x
  2. Step 2: Convert to fraction form
    171.61/257.56 = 90.51/x
  3. Step 3: Cross multiply
    171.61x = 257.56 × 90.51
  4. Step 4: Simplify right side
    171.61x = 23,311.76
  5. Step 5: Solve for x
    x = 23,311.76/171.61
  6. Step 6: Final answer
    x = 135.84

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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.