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Finding the Fourth Proportional to 72.39, 108.59 and 64.82

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Solution

The fourth proportional to 72.39, 108.59 and 64.82 is: 97.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.39 : 108.59 = 64.82 : x
  2. Step 2: Convert to fraction form
    72.39/108.59 = 64.82/x
  3. Step 3: Cross multiply
    72.39x = 108.59 × 64.82
  4. Step 4: Simplify right side
    72.39x = 7,038.80
  5. Step 5: Solve for x
    x = 7,038.80/72.39
  6. Step 6: Final answer
    x = 97.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.