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Finding the Fourth Proportional to 116.10, 159.98 and 97.67

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Solution

The fourth proportional to 116.10, 159.98 and 97.67 is: 134.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.10 : 159.98 = 97.67 : x
  2. Step 2: Convert to fraction form
    116.10/159.98 = 97.67/x
  3. Step 3: Cross multiply
    116.10x = 159.98 × 97.67
  4. Step 4: Simplify right side
    116.10x = 15,625.16
  5. Step 5: Solve for x
    x = 15,625.16/116.10
  6. Step 6: Final answer
    x = 134.58

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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.