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Finding the Fourth Proportional to 64.63, 96.81 and 47.35

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Solution

The fourth proportional to 64.63, 96.81 and 47.35 is: 70.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.63 : 96.81 = 47.35 : x
  2. Step 2: Convert to fraction form
    64.63/96.81 = 47.35/x
  3. Step 3: Cross multiply
    64.63x = 96.81 × 47.35
  4. Step 4: Simplify right side
    64.63x = 4,583.95
  5. Step 5: Solve for x
    x = 4,583.95/64.63
  6. Step 6: Final answer
    x = 70.93

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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.