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Finding the Fourth Proportional to 117.41, 176.81 and 102.37

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Solution

The fourth proportional to 117.41, 176.81 and 102.37 is: 154.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.41 : 176.81 = 102.37 : x
  2. Step 2: Convert to fraction form
    117.41/176.81 = 102.37/x
  3. Step 3: Cross multiply
    117.41x = 176.81 × 102.37
  4. Step 4: Simplify right side
    117.41x = 18,099.53
  5. Step 5: Solve for x
    x = 18,099.53/117.41
  6. Step 6: Final answer
    x = 154.16

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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.