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Finding the Fourth Proportional to 171.18, 257.18 and 99.09

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Solution

The fourth proportional to 171.18, 257.18 and 99.09 is: 148.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.18 : 257.18 = 99.09 : x
  2. Step 2: Convert to fraction form
    171.18/257.18 = 99.09/x
  3. Step 3: Cross multiply
    171.18x = 257.18 × 99.09
  4. Step 4: Simplify right side
    171.18x = 25,483.47
  5. Step 5: Solve for x
    x = 25,483.47/171.18
  6. Step 6: Final answer
    x = 148.87

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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.