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Finding the Fourth Proportional to 64.85, 97.05 and 49.54

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Solution

The fourth proportional to 64.85, 97.05 and 49.54 is: 74.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.85 : 97.05 = 49.54 : x
  2. Step 2: Convert to fraction form
    64.85/97.05 = 49.54/x
  3. Step 3: Cross multiply
    64.85x = 97.05 × 49.54
  4. Step 4: Simplify right side
    64.85x = 4,807.86
  5. Step 5: Solve for x
    x = 4,807.86/64.85
  6. Step 6: Final answer
    x = 74.14

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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.