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Finding the Fourth Proportional to 110.51, 165.64 and 72.06

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Solution

The fourth proportional to 110.51, 165.64 and 72.06 is: 108.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.51 : 165.64 = 72.06 : x
  2. Step 2: Convert to fraction form
    110.51/165.64 = 72.06/x
  3. Step 3: Cross multiply
    110.51x = 165.64 × 72.06
  4. Step 4: Simplify right side
    110.51x = 11,936.02
  5. Step 5: Solve for x
    x = 11,936.02/110.51
  6. Step 6: Final answer
    x = 108.01

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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.