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Finding the Fourth Proportional to 110.13, 152.27 and 97.80

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Solution

The fourth proportional to 110.13, 152.27 and 97.80 is: 135.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.13 : 152.27 = 97.80 : x
  2. Step 2: Convert to fraction form
    110.13/152.27 = 97.80/x
  3. Step 3: Cross multiply
    110.13x = 152.27 × 97.80
  4. Step 4: Simplify right side
    110.13x = 14,892.01
  5. Step 5: Solve for x
    x = 14,892.01/110.13
  6. Step 6: Final answer
    x = 135.22

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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.