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Finding the Fourth Proportional to 64.86, 97.14 and 44.52

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Solution

The fourth proportional to 64.86, 97.14 and 44.52 is: 66.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.86 : 97.14 = 44.52 : x
  2. Step 2: Convert to fraction form
    64.86/97.14 = 44.52/x
  3. Step 3: Cross multiply
    64.86x = 97.14 × 44.52
  4. Step 4: Simplify right side
    64.86x = 4,324.67
  5. Step 5: Solve for x
    x = 4,324.67/64.86
  6. Step 6: Final answer
    x = 66.68

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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.