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Finding the Fourth Proportional to 109.98, 164.88 and 55.13

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Solution

The fourth proportional to 109.98, 164.88 and 55.13 is: 82.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.98 : 164.88 = 55.13 : x
  2. Step 2: Convert to fraction form
    109.98/164.88 = 55.13/x
  3. Step 3: Cross multiply
    109.98x = 164.88 × 55.13
  4. Step 4: Simplify right side
    109.98x = 9,089.01
  5. Step 5: Solve for x
    x = 9,089.01/109.98
  6. Step 6: Final answer
    x = 82.64

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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.