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Finding the Fourth Proportional to 72.29, 108.32 and 52.02

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Solution

The fourth proportional to 72.29, 108.32 and 52.02 is: 77.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.29 : 108.32 = 52.02 : x
  2. Step 2: Convert to fraction form
    72.29/108.32 = 52.02/x
  3. Step 3: Cross multiply
    72.29x = 108.32 × 52.02
  4. Step 4: Simplify right side
    72.29x = 5,634.55
  5. Step 5: Solve for x
    x = 5,634.55/72.29
  6. Step 6: Final answer
    x = 77.95

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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.