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Finding the Fourth Proportional to 64.60, 96.91 and 47.09

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Solution

The fourth proportional to 64.60, 96.91 and 47.09 is: 70.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.60 : 96.91 = 47.09 : x
  2. Step 2: Convert to fraction form
    64.60/96.91 = 47.09/x
  3. Step 3: Cross multiply
    64.60x = 96.91 × 47.09
  4. Step 4: Simplify right side
    64.60x = 4,563.26
  5. Step 5: Solve for x
    x = 4,563.26/64.60
  6. Step 6: Final answer
    x = 70.64

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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.