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Finding the Fourth Proportional to 137.76, 207.38 and 97.46

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Solution

The fourth proportional to 137.76, 207.38 and 97.46 is: 146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.76 : 207.38 = 97.46 : x
  2. Step 2: Convert to fraction form
    137.76/207.38 = 97.46/x
  3. Step 3: Cross multiply
    137.76x = 207.38 × 97.46
  4. Step 4: Simplify right side
    137.76x = 20,210.77
  5. Step 5: Solve for x
    x = 20,210.77/137.76
  6. Step 6: Final answer
    x = 146.71

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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.