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Finding the Fourth Proportional to 117.81, 163.01 and 103.30

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Solution

The fourth proportional to 117.81, 163.01 and 103.30 is: 142.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.81 : 163.01 = 103.30 : x
  2. Step 2: Convert to fraction form
    117.81/163.01 = 103.30/x
  3. Step 3: Cross multiply
    117.81x = 163.01 × 103.30
  4. Step 4: Simplify right side
    117.81x = 16,838.78
  5. Step 5: Solve for x
    x = 16,838.78/117.81
  6. Step 6: Final answer
    x = 142.93

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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.