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Finding the Fourth Proportional to 10.75, 14.90 and 10.50

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Solution

The fourth proportional to 10.75, 14.90 and 10.50 is: 14.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.75 : 14.90 = 10.50 : x
  2. Step 2: Convert to fraction form
    10.75/14.90 = 10.50/x
  3. Step 3: Cross multiply
    10.75x = 14.90 × 10.50
  4. Step 4: Simplify right side
    10.75x = 156.45
  5. Step 5: Solve for x
    x = 156.45/10.75
  6. Step 6: Final answer
    x = 14.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.