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Finding the Fourth Proportional to 172.02, 257.76 and 90.75

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Solution

The fourth proportional to 172.02, 257.76 and 90.75 is: 135.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.02 : 257.76 = 90.75 : x
  2. Step 2: Convert to fraction form
    172.02/257.76 = 90.75/x
  3. Step 3: Cross multiply
    172.02x = 257.76 × 90.75
  4. Step 4: Simplify right side
    172.02x = 23,391.72
  5. Step 5: Solve for x
    x = 23,391.72/172.02
  6. Step 6: Final answer
    x = 135.98

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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.