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Finding the Fourth Proportional to 110.90, 166.65 and 97.70

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Solution

The fourth proportional to 110.90, 166.65 and 97.70 is: 146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.90 : 166.65 = 97.70 : x
  2. Step 2: Convert to fraction form
    110.90/166.65 = 97.70/x
  3. Step 3: Cross multiply
    110.90x = 166.65 × 97.70
  4. Step 4: Simplify right side
    110.90x = 16,281.71
  5. Step 5: Solve for x
    x = 16,281.71/110.90
  6. Step 6: Final answer
    x = 146.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.