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Finding the Fourth Proportional to 64.10, 96.16 and 28.06

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Solution

The fourth proportional to 64.10, 96.16 and 28.06 is: 42.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.10 : 96.16 = 28.06 : x
  2. Step 2: Convert to fraction form
    64.10/96.16 = 28.06/x
  3. Step 3: Cross multiply
    64.10x = 96.16 × 28.06
  4. Step 4: Simplify right side
    64.10x = 2,698.25
  5. Step 5: Solve for x
    x = 2,698.25/64.10
  6. Step 6: Final answer
    x = 42.09

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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.