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Finding the Fourth Proportional to 64, 95.76 and 39.80

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Solution

The fourth proportional to 64, 95.76 and 39.80 is: 59.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64 : 95.76 = 39.80 : x
  2. Step 2: Convert to fraction form
    64/95.76 = 39.80/x
  3. Step 3: Cross multiply
    64x = 95.76 × 39.80
  4. Step 4: Simplify right side
    64x = 3,811.25
  5. Step 5: Solve for x
    x = 3,811.25/64
  6. Step 6: Final answer
    x = 59.55

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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.