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Finding the Fourth Proportional to 64.40, 96.55 and 25.86

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Solution

The fourth proportional to 64.40, 96.55 and 25.86 is: 38.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.40 : 96.55 = 25.86 : x
  2. Step 2: Convert to fraction form
    64.40/96.55 = 25.86/x
  3. Step 3: Cross multiply
    64.40x = 96.55 × 25.86
  4. Step 4: Simplify right side
    64.40x = 2,496.65
  5. Step 5: Solve for x
    x = 2,496.65/64.40
  6. Step 6: Final answer
    x = 38.77

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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.