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Finding the Fourth Proportional to 137.66, 207.25 and 101.88

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Solution

The fourth proportional to 137.66, 207.25 and 101.88 is: 153.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.66 : 207.25 = 101.88 : x
  2. Step 2: Convert to fraction form
    137.66/207.25 = 101.88/x
  3. Step 3: Cross multiply
    137.66x = 207.25 × 101.88
  4. Step 4: Simplify right side
    137.66x = 21,114.38
  5. Step 5: Solve for x
    x = 21,114.38/137.66
  6. Step 6: Final answer
    x = 153.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.