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Finding the Fourth Proportional to 10.75, 14.93 and 10.75

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Solution

The fourth proportional to 10.75, 14.93 and 10.75 is: 14.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.75 : 14.93 = 10.75 : x
  2. Step 2: Convert to fraction form
    10.75/14.93 = 10.75/x
  3. Step 3: Cross multiply
    10.75x = 14.93 × 10.75
  4. Step 4: Simplify right side
    10.75x = 160.50
  5. Step 5: Solve for x
    x = 160.50/10.75
  6. Step 6: Final answer
    x = 14.93

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