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Finding the Fourth Proportional to 64.76, 96.80 and 47.54

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Solution

The fourth proportional to 64.76, 96.80 and 47.54 is: 71.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.76 : 96.80 = 47.54 : x
  2. Step 2: Convert to fraction form
    64.76/96.80 = 47.54/x
  3. Step 3: Cross multiply
    64.76x = 96.80 × 47.54
  4. Step 4: Simplify right side
    64.76x = 4,601.87
  5. Step 5: Solve for x
    x = 4,601.87/64.76
  6. Step 6: Final answer
    x = 71.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.