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Finding the Fourth Proportional to 47.99, 65.84 and 45.69

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Solution

The fourth proportional to 47.99, 65.84 and 45.69 is: 62.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.99 : 65.84 = 45.69 : x
  2. Step 2: Convert to fraction form
    47.99/65.84 = 45.69/x
  3. Step 3: Cross multiply
    47.99x = 65.84 × 45.69
  4. Step 4: Simplify right side
    47.99x = 3,008.00
  5. Step 5: Solve for x
    x = 3,008.00/47.99
  6. Step 6: Final answer
    x = 62.69

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.