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Finding the Fourth Proportional to 64.10, 96.08 and 36.99

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Solution

The fourth proportional to 64.10, 96.08 and 36.99 is: 55.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.10 : 96.08 = 36.99 : x
  2. Step 2: Convert to fraction form
    64.10/96.08 = 36.99/x
  3. Step 3: Cross multiply
    64.10x = 96.08 × 36.99
  4. Step 4: Simplify right side
    64.10x = 3,554.15
  5. Step 5: Solve for x
    x = 3,554.15/64.10
  6. Step 6: Final answer
    x = 55.44

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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.