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Finding the Fourth Proportional to 45.84, 68.77 and 21.78

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Solution

The fourth proportional to 45.84, 68.77 and 21.78 is: 32.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.84 : 68.77 = 21.78 : x
  2. Step 2: Convert to fraction form
    45.84/68.77 = 21.78/x
  3. Step 3: Cross multiply
    45.84x = 68.77 × 21.78
  4. Step 4: Simplify right side
    45.84x = 1,497.81
  5. Step 5: Solve for x
    x = 1,497.81/45.84
  6. Step 6: Final answer
    x = 32.68

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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.