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Finding the Fourth Proportional to 111.02, 165.81 and 88.22

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Solution

The fourth proportional to 111.02, 165.81 and 88.22 is: 131.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.02 : 165.81 = 88.22 : x
  2. Step 2: Convert to fraction form
    111.02/165.81 = 88.22/x
  3. Step 3: Cross multiply
    111.02x = 165.81 × 88.22
  4. Step 4: Simplify right side
    111.02x = 14,627.32
  5. Step 5: Solve for x
    x = 14,627.32/111.02
  6. Step 6: Final answer
    x = 131.75

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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.