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Finding the Fourth Proportional to 64.01, 96.35 and 43.85

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Solution

The fourth proportional to 64.01, 96.35 and 43.85 is: 66.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.01 : 96.35 = 43.85 : x
  2. Step 2: Convert to fraction form
    64.01/96.35 = 43.85/x
  3. Step 3: Cross multiply
    64.01x = 96.35 × 43.85
  4. Step 4: Simplify right side
    64.01x = 4,224.47
  5. Step 5: Solve for x
    x = 4,224.47/64.01
  6. Step 6: Final answer
    x = 66.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.