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Finding the Fourth Proportional to 172.31, 258.50 and 64.10

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Solution

The fourth proportional to 172.31, 258.50 and 64.10 is: 96.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.31 : 258.50 = 64.10 : x
  2. Step 2: Convert to fraction form
    172.31/258.50 = 64.10/x
  3. Step 3: Cross multiply
    172.31x = 258.50 × 64.10
  4. Step 4: Simplify right side
    172.31x = 16,568.24
  5. Step 5: Solve for x
    x = 16,568.24/172.31
  6. Step 6: Final answer
    x = 96.15

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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.