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Finding the Fourth Proportional to 63.01, 94.58 and 47.64

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Solution

The fourth proportional to 63.01, 94.58 and 47.64 is: 71.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.01 : 94.58 = 47.64 : x
  2. Step 2: Convert to fraction form
    63.01/94.58 = 47.64/x
  3. Step 3: Cross multiply
    63.01x = 94.58 × 47.64
  4. Step 4: Simplify right side
    63.01x = 4,505.79
  5. Step 5: Solve for x
    x = 4,505.79/63.01
  6. Step 6: Final answer
    x = 71.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.