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Finding the Fourth Proportional to 64.86, 96.74 and 61.80

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Solution

The fourth proportional to 64.86, 96.74 and 61.80 is: 92.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.86 : 96.74 = 61.80 : x
  2. Step 2: Convert to fraction form
    64.86/96.74 = 61.80/x
  3. Step 3: Cross multiply
    64.86x = 96.74 × 61.80
  4. Step 4: Simplify right side
    64.86x = 5,978.53
  5. Step 5: Solve for x
    x = 5,978.53/64.86
  6. Step 6: Final answer
    x = 92.18

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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.