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Finding the Fourth Proportional to 134.61, 201.14 and 110.25

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Solution

The fourth proportional to 134.61, 201.14 and 110.25 is: 164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.61 : 201.14 = 110.25 : x
  2. Step 2: Convert to fraction form
    134.61/201.14 = 110.25/x
  3. Step 3: Cross multiply
    134.61x = 201.14 × 110.25
  4. Step 4: Simplify right side
    134.61x = 22,175.96
  5. Step 5: Solve for x
    x = 22,175.96/134.61
  6. Step 6: Final answer
    x = 164.74

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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.