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Finding the Fourth Proportional to 72.94, 108.87 and 64.29

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Solution

The fourth proportional to 72.94, 108.87 and 64.29 is: 95.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.94 : 108.87 = 64.29 : x
  2. Step 2: Convert to fraction form
    72.94/108.87 = 64.29/x
  3. Step 3: Cross multiply
    72.94x = 108.87 × 64.29
  4. Step 4: Simplify right side
    72.94x = 6,999.08
  5. Step 5: Solve for x
    x = 6,999.08/72.94
  6. Step 6: Final answer
    x = 95.96

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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.