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Finding the Fourth Proportional to 110.90, 152.89 and 97.85

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Solution

The fourth proportional to 110.90, 152.89 and 97.85 is: 134.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.90 : 152.89 = 97.85 : x
  2. Step 2: Convert to fraction form
    110.90/152.89 = 97.85/x
  3. Step 3: Cross multiply
    110.90x = 152.89 × 97.85
  4. Step 4: Simplify right side
    110.90x = 14,960.42
  5. Step 5: Solve for x
    x = 14,960.42/110.90
  6. Step 6: Final answer
    x = 134.90

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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.