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Finding the Fourth Proportional to 110.02, 165.08 and 88.16

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Solution

The fourth proportional to 110.02, 165.08 and 88.16 is: 132.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.02 : 165.08 = 88.16 : x
  2. Step 2: Convert to fraction form
    110.02/165.08 = 88.16/x
  3. Step 3: Cross multiply
    110.02x = 165.08 × 88.16
  4. Step 4: Simplify right side
    110.02x = 14,553.45
  5. Step 5: Solve for x
    x = 14,553.45/110.02
  6. Step 6: Final answer
    x = 132.28

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Why These Related Problems?

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