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Finding the Fourth Proportional to 110.35, 164.84 and 87.45

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Solution

The fourth proportional to 110.35, 164.84 and 87.45 is: 130.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.35 : 164.84 = 87.45 : x
  2. Step 2: Convert to fraction form
    110.35/164.84 = 87.45/x
  3. Step 3: Cross multiply
    110.35x = 164.84 × 87.45
  4. Step 4: Simplify right side
    110.35x = 14,415.26
  5. Step 5: Solve for x
    x = 14,415.26/110.35
  6. Step 6: Final answer
    x = 130.63

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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.