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Finding the Fourth Proportional to 172.48, 259.08 and 127.12

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Solution

The fourth proportional to 172.48, 259.08 and 127.12 is: 190.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.48 : 259.08 = 127.12 : x
  2. Step 2: Convert to fraction form
    172.48/259.08 = 127.12/x
  3. Step 3: Cross multiply
    172.48x = 259.08 × 127.12
  4. Step 4: Simplify right side
    172.48x = 32,934.25
  5. Step 5: Solve for x
    x = 32,934.25/172.48
  6. Step 6: Final answer
    x = 190.95

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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.