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Finding the Fourth Proportional to 64.56, 96.80 and 37.12

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Solution

The fourth proportional to 64.56, 96.80 and 37.12 is: 55.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.56 : 96.80 = 37.12 : x
  2. Step 2: Convert to fraction form
    64.56/96.80 = 37.12/x
  3. Step 3: Cross multiply
    64.56x = 96.80 × 37.12
  4. Step 4: Simplify right side
    64.56x = 3,593.22
  5. Step 5: Solve for x
    x = 3,593.22/64.56
  6. Step 6: Final answer
    x = 55.66

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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.