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Finding the Fourth Proportional to 65.69, 98.47 and 45.33

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Solution

The fourth proportional to 65.69, 98.47 and 45.33 is: 67.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.69 : 98.47 = 45.33 : x
  2. Step 2: Convert to fraction form
    65.69/98.47 = 45.33/x
  3. Step 3: Cross multiply
    65.69x = 98.47 × 45.33
  4. Step 4: Simplify right side
    65.69x = 4,463.53
  5. Step 5: Solve for x
    x = 4,463.53/65.69
  6. Step 6: Final answer
    x = 67.95

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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.