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Finding the Fourth Proportional to 109.71, 164.67 and 52.02

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Solution

The fourth proportional to 109.71, 164.67 and 52.02 is: 78.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.71 : 164.67 = 52.02 : x
  2. Step 2: Convert to fraction form
    109.71/164.67 = 52.02/x
  3. Step 3: Cross multiply
    109.71x = 164.67 × 52.02
  4. Step 4: Simplify right side
    109.71x = 8,566.13
  5. Step 5: Solve for x
    x = 8,566.13/109.71
  6. Step 6: Final answer
    x = 78.08

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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.