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Finding the Fourth Proportional to 110.58, 164.84 and 97.14

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Solution

The fourth proportional to 110.58, 164.84 and 97.14 is: 144.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.58 : 164.84 = 97.14 : x
  2. Step 2: Convert to fraction form
    110.58/164.84 = 97.14/x
  3. Step 3: Cross multiply
    110.58x = 164.84 × 97.14
  4. Step 4: Simplify right side
    110.58x = 16,012.07
  5. Step 5: Solve for x
    x = 16,012.07/110.58
  6. Step 6: Final answer
    x = 144.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.