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Finding the Fourth Proportional to 116.98, 161.29 and 90.42

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Solution

The fourth proportional to 116.98, 161.29 and 90.42 is: 124.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.98 : 161.29 = 90.42 : x
  2. Step 2: Convert to fraction form
    116.98/161.29 = 90.42/x
  3. Step 3: Cross multiply
    116.98x = 161.29 × 90.42
  4. Step 4: Simplify right side
    116.98x = 14,583.84
  5. Step 5: Solve for x
    x = 14,583.84/116.98
  6. Step 6: Final answer
    x = 124.67

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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.