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Finding the Fourth Proportional to 172.71, 259.19 and 76.53

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Solution

The fourth proportional to 172.71, 259.19 and 76.53 is: 114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.71 : 259.19 = 76.53 : x
  2. Step 2: Convert to fraction form
    172.71/259.19 = 76.53/x
  3. Step 3: Cross multiply
    172.71x = 259.19 × 76.53
  4. Step 4: Simplify right side
    172.71x = 19,835.43
  5. Step 5: Solve for x
    x = 19,835.43/172.71
  6. Step 6: Final answer
    x = 114.85

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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.