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Finding the Fourth Proportional to 172.04, 237.14 and 137

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Solution

The fourth proportional to 172.04, 237.14 and 137 is: 188.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.04 : 237.14 = 137 : x
  2. Step 2: Convert to fraction form
    172.04/237.14 = 137/x
  3. Step 3: Cross multiply
    172.04x = 237.14 × 137
  4. Step 4: Simplify right side
    172.04x = 32,488.18
  5. Step 5: Solve for x
    x = 32,488.18/172.04
  6. Step 6: Final answer
    x = 188.84

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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.