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Finding the Fourth Proportional to 65.72, 98.62 and 47.64

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Solution

The fourth proportional to 65.72, 98.62 and 47.64 is: 71.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.72 : 98.62 = 47.64 : x
  2. Step 2: Convert to fraction form
    65.72/98.62 = 47.64/x
  3. Step 3: Cross multiply
    65.72x = 98.62 × 47.64
  4. Step 4: Simplify right side
    65.72x = 4,698.26
  5. Step 5: Solve for x
    x = 4,698.26/65.72
  6. Step 6: Final answer
    x = 71.49

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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.