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Finding the Fourth Proportional to 110.02, 164.70 and 86.86

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Solution

The fourth proportional to 110.02, 164.70 and 86.86 is: 130.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.02 : 164.70 = 86.86 : x
  2. Step 2: Convert to fraction form
    110.02/164.70 = 86.86/x
  3. Step 3: Cross multiply
    110.02x = 164.70 × 86.86
  4. Step 4: Simplify right side
    110.02x = 14,305.84
  5. Step 5: Solve for x
    x = 14,305.84/110.02
  6. Step 6: Final answer
    x = 130.03

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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.