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Finding the Fourth Proportional to 172.49, 258.64 and 64.16

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Solution

The fourth proportional to 172.49, 258.64 and 64.16 is: 96.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.49 : 258.64 = 64.16 : x
  2. Step 2: Convert to fraction form
    172.49/258.64 = 64.16/x
  3. Step 3: Cross multiply
    172.49x = 258.64 × 64.16
  4. Step 4: Simplify right side
    172.49x = 16,592.73
  5. Step 5: Solve for x
    x = 16,592.73/172.49
  6. Step 6: Final answer
    x = 96.20

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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.