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Finding the Fourth Proportional to 71.47, 98.64 and 46.94

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Solution

The fourth proportional to 71.47, 98.64 and 46.94 is: 64.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.47 : 98.64 = 46.94 : x
  2. Step 2: Convert to fraction form
    71.47/98.64 = 46.94/x
  3. Step 3: Cross multiply
    71.47x = 98.64 × 46.94
  4. Step 4: Simplify right side
    71.47x = 4,629.93
  5. Step 5: Solve for x
    x = 4,629.93/71.47
  6. Step 6: Final answer
    x = 64.79

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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.