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Finding the Fourth Proportional to 47.54, 64.99 and 47.54

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Solution

The fourth proportional to 47.54, 64.99 and 47.54 is: 64.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.54 : 64.99 = 47.54 : x
  2. Step 2: Convert to fraction form
    47.54/64.99 = 47.54/x
  3. Step 3: Cross multiply
    47.54x = 64.99 × 47.54
  4. Step 4: Simplify right side
    47.54x = 3,089.62
  5. Step 5: Solve for x
    x = 3,089.62/47.54
  6. Step 6: Final answer
    x = 64.99

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Why These Related Problems?

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