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Finding the Fourth Proportional to 172.42, 237.87 and 120.70

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Solution

The fourth proportional to 172.42, 237.87 and 120.70 is: 166.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.42 : 237.87 = 120.70 : x
  2. Step 2: Convert to fraction form
    172.42/237.87 = 120.70/x
  3. Step 3: Cross multiply
    172.42x = 237.87 × 120.70
  4. Step 4: Simplify right side
    172.42x = 28,710.91
  5. Step 5: Solve for x
    x = 28,710.91/172.42
  6. Step 6: Final answer
    x = 166.52

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