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Finding the Fourth Proportional to 171.30, 256.93 and 61.60

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Solution

The fourth proportional to 171.30, 256.93 and 61.60 is: 92.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.30 : 256.93 = 61.60 : x
  2. Step 2: Convert to fraction form
    171.30/256.93 = 61.60/x
  3. Step 3: Cross multiply
    171.30x = 256.93 × 61.60
  4. Step 4: Simplify right side
    171.30x = 15,825.57
  5. Step 5: Solve for x
    x = 15,825.57/171.30
  6. Step 6: Final answer
    x = 92.38

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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.