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Finding the Fourth Proportional to 172.02, 257.88 and 69.33

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Solution

The fourth proportional to 172.02, 257.88 and 69.33 is: 103.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.02 : 257.88 = 69.33 : x
  2. Step 2: Convert to fraction form
    172.02/257.88 = 69.33/x
  3. Step 3: Cross multiply
    172.02x = 257.88 × 69.33
  4. Step 4: Simplify right side
    172.02x = 17,878.82
  5. Step 5: Solve for x
    x = 17,878.82/172.02
  6. Step 6: Final answer
    x = 103.93

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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.