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Finding the Fourth Proportional to 64.06, 96.19 and 55.63

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Solution

The fourth proportional to 64.06, 96.19 and 55.63 is: 83.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.06 : 96.19 = 55.63 : x
  2. Step 2: Convert to fraction form
    64.06/96.19 = 55.63/x
  3. Step 3: Cross multiply
    64.06x = 96.19 × 55.63
  4. Step 4: Simplify right side
    64.06x = 5,351.05
  5. Step 5: Solve for x
    x = 5,351.05/64.06
  6. Step 6: Final answer
    x = 83.53

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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.