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Finding the Fourth Proportional to 64.99, 97.32 and 49.75

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Solution

The fourth proportional to 64.99, 97.32 and 49.75 is: 74.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.99 : 97.32 = 49.75 : x
  2. Step 2: Convert to fraction form
    64.99/97.32 = 49.75/x
  3. Step 3: Cross multiply
    64.99x = 97.32 × 49.75
  4. Step 4: Simplify right side
    64.99x = 4,841.33
  5. Step 5: Solve for x
    x = 4,841.33/64.99
  6. Step 6: Final answer
    x = 74.50

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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.