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Finding the Fourth Proportional to 27.84, 41.76 and 9.80

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Solution

The fourth proportional to 27.84, 41.76 and 9.80 is: 14.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.84 : 41.76 = 9.80 : x
  2. Step 2: Convert to fraction form
    27.84/41.76 = 9.80/x
  3. Step 3: Cross multiply
    27.84x = 41.76 × 9.80
  4. Step 4: Simplify right side
    27.84x = 409.20
  5. Step 5: Solve for x
    x = 409.20/27.84
  6. Step 6: Final answer
    x = 14.70

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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.