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Finding the Fourth Proportional to 109.47, 164.02 and 77.25

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Solution

The fourth proportional to 109.47, 164.02 and 77.25 is: 115.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.47 : 164.02 = 77.25 : x
  2. Step 2: Convert to fraction form
    109.47/164.02 = 77.25/x
  3. Step 3: Cross multiply
    109.47x = 164.02 × 77.25
  4. Step 4: Simplify right side
    109.47x = 12,670.55
  5. Step 5: Solve for x
    x = 12,670.55/109.47
  6. Step 6: Final answer
    x = 115.74

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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.