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Finding the Fourth Proportional to 172.13, 237.63 and 109.98

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Solution

The fourth proportional to 172.13, 237.63 and 109.98 is: 151.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.13 : 237.63 = 109.98 : x
  2. Step 2: Convert to fraction form
    172.13/237.63 = 109.98/x
  3. Step 3: Cross multiply
    172.13x = 237.63 × 109.98
  4. Step 4: Simplify right side
    172.13x = 26,134.55
  5. Step 5: Solve for x
    x = 26,134.55/172.13
  6. Step 6: Final answer
    x = 151.83

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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.