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Finding the Fourth Proportional to 117.38, 161.53 and 113.98

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Solution

The fourth proportional to 117.38, 161.53 and 113.98 is: 156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.38 : 161.53 = 113.98 : x
  2. Step 2: Convert to fraction form
    117.38/161.53 = 113.98/x
  3. Step 3: Cross multiply
    117.38x = 161.53 × 113.98
  4. Step 4: Simplify right side
    117.38x = 18,410.50
  5. Step 5: Solve for x
    x = 18,410.50/117.38
  6. Step 6: Final answer
    x = 156.84

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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.