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Finding the Fourth Proportional to 64.73, 89.12 and 52.48

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Solution

The fourth proportional to 64.73, 89.12 and 52.48 is: 72.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.73 : 89.12 = 52.48 : x
  2. Step 2: Convert to fraction form
    64.73/89.12 = 52.48/x
  3. Step 3: Cross multiply
    64.73x = 89.12 × 52.48
  4. Step 4: Simplify right side
    64.73x = 4,677.02
  5. Step 5: Solve for x
    x = 4,677.02/64.73
  6. Step 6: Final answer
    x = 72.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.