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Finding the Fourth Proportional to 109.79, 164.53 and 52.01

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Solution

The fourth proportional to 109.79, 164.53 and 52.01 is: 77.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.79 : 164.53 = 52.01 : x
  2. Step 2: Convert to fraction form
    109.79/164.53 = 52.01/x
  3. Step 3: Cross multiply
    109.79x = 164.53 × 52.01
  4. Step 4: Simplify right side
    109.79x = 8,557.21
  5. Step 5: Solve for x
    x = 8,557.21/109.79
  6. Step 6: Final answer
    x = 77.94

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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.