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Finding the Fourth Proportional to 172.48, 238 and 102.52

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Solution

The fourth proportional to 172.48, 238 and 102.52 is: 141.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.48 : 238 = 102.52 : x
  2. Step 2: Convert to fraction form
    172.48/238 = 102.52/x
  3. Step 3: Cross multiply
    172.48x = 238 × 102.52
  4. Step 4: Simplify right side
    172.48x = 24,399.76
  5. Step 5: Solve for x
    x = 24,399.76/172.48
  6. Step 6: Final answer
    x = 141.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.