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Finding the Fourth Proportional to 47.14, 65.00 and 46.02

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Solution

The fourth proportional to 47.14, 65.00 and 46.02 is: 63.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.14 : 65.00 = 46.02 : x
  2. Step 2: Convert to fraction form
    47.14/65.00 = 46.02/x
  3. Step 3: Cross multiply
    47.14x = 65.00 × 46.02
  4. Step 4: Simplify right side
    47.14x = 2,991.42
  5. Step 5: Solve for x
    x = 2,991.42/47.14
  6. Step 6: Final answer
    x = 63.46

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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.