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Finding the Fourth Proportional to 110.14, 165.04 and 87.36

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Solution

The fourth proportional to 110.14, 165.04 and 87.36 is: 130.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.14 : 165.04 = 87.36 : x
  2. Step 2: Convert to fraction form
    110.14/165.04 = 87.36/x
  3. Step 3: Cross multiply
    110.14x = 165.04 × 87.36
  4. Step 4: Simplify right side
    110.14x = 14,417.89
  5. Step 5: Solve for x
    x = 14,417.89/110.14
  6. Step 6: Final answer
    x = 130.91

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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.