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Finding the Fourth Proportional to 72.55, 108.37 and 52.10

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Solution

The fourth proportional to 72.55, 108.37 and 52.10 is: 77.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.55 : 108.37 = 52.10 : x
  2. Step 2: Convert to fraction form
    72.55/108.37 = 52.10/x
  3. Step 3: Cross multiply
    72.55x = 108.37 × 52.10
  4. Step 4: Simplify right side
    72.55x = 5,645.27
  5. Step 5: Solve for x
    x = 5,645.27/72.55
  6. Step 6: Final answer
    x = 77.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.