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Finding the Fourth Proportional to 64.94, 97.45 and 36.02

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Solution

The fourth proportional to 64.94, 97.45 and 36.02 is: 54.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.94 : 97.45 = 36.02 : x
  2. Step 2: Convert to fraction form
    64.94/97.45 = 36.02/x
  3. Step 3: Cross multiply
    64.94x = 97.45 × 36.02
  4. Step 4: Simplify right side
    64.94x = 3,510.30
  5. Step 5: Solve for x
    x = 3,510.30/64.94
  6. Step 6: Final answer
    x = 54.06

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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.