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Finding the Fourth Proportional to 10.12, 13.88 and 9.84

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Solution

The fourth proportional to 10.12, 13.88 and 9.84 is: 13.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.12 : 13.88 = 9.84 : x
  2. Step 2: Convert to fraction form
    10.12/13.88 = 9.84/x
  3. Step 3: Cross multiply
    10.12x = 13.88 × 9.84
  4. Step 4: Simplify right side
    10.12x = 136.58
  5. Step 5: Solve for x
    x = 136.58/10.12
  6. Step 6: Final answer
    x = 13.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.