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Finding the Fourth Proportional to 170.57, 255.59 and 101.93

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Solution

The fourth proportional to 170.57, 255.59 and 101.93 is: 152.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.57 : 255.59 = 101.93 : x
  2. Step 2: Convert to fraction form
    170.57/255.59 = 101.93/x
  3. Step 3: Cross multiply
    170.57x = 255.59 × 101.93
  4. Step 4: Simplify right side
    170.57x = 26,050.88
  5. Step 5: Solve for x
    x = 26,050.88/170.57
  6. Step 6: Final answer
    x = 152.73

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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.