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Finding the Fourth Proportional to 64.94, 97.46 and 30.72

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Solution

The fourth proportional to 64.94, 97.46 and 30.72 is: 46.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.94 : 97.46 = 30.72 : x
  2. Step 2: Convert to fraction form
    64.94/97.46 = 30.72/x
  3. Step 3: Cross multiply
    64.94x = 97.46 × 30.72
  4. Step 4: Simplify right side
    64.94x = 2,993.48
  5. Step 5: Solve for x
    x = 2,993.48/64.94
  6. Step 6: Final answer
    x = 46.10

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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.