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Finding the Fourth Proportional to 134.64, 201.69 and 110.16

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Solution

The fourth proportional to 134.64, 201.69 and 110.16 is: 165.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.64 : 201.69 = 110.16 : x
  2. Step 2: Convert to fraction form
    134.64/201.69 = 110.16/x
  3. Step 3: Cross multiply
    134.64x = 201.69 × 110.16
  4. Step 4: Simplify right side
    134.64x = 22,218.17
  5. Step 5: Solve for x
    x = 22,218.17/134.64
  6. Step 6: Final answer
    x = 165.02

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