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Finding the Fourth Proportional to 117.13, 161.60 and 75.67

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Solution

The fourth proportional to 117.13, 161.60 and 75.67 is: 104.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.13 : 161.60 = 75.67 : x
  2. Step 2: Convert to fraction form
    117.13/161.60 = 75.67/x
  3. Step 3: Cross multiply
    117.13x = 161.60 × 75.67
  4. Step 4: Simplify right side
    117.13x = 12,227.49
  5. Step 5: Solve for x
    x = 12,227.49/117.13
  6. Step 6: Final answer
    x = 104.39

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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.