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Finding the Fourth Proportional to 170.76, 255.51 and 102.03

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Solution

The fourth proportional to 170.76, 255.51 and 102.03 is: 152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.76 : 255.51 = 102.03 : x
  2. Step 2: Convert to fraction form
    170.76/255.51 = 102.03/x
  3. Step 3: Cross multiply
    170.76x = 255.51 × 102.03
  4. Step 4: Simplify right side
    170.76x = 26,069.69
  5. Step 5: Solve for x
    x = 26,069.69/170.76
  6. Step 6: Final answer
    x = 152.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.