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Finding the Fourth Proportional to 10.83, 14.95 and 8.07

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Solution

The fourth proportional to 10.83, 14.95 and 8.07 is: 11.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.83 : 14.95 = 8.07 : x
  2. Step 2: Convert to fraction form
    10.83/14.95 = 8.07/x
  3. Step 3: Cross multiply
    10.83x = 14.95 × 8.07
  4. Step 4: Simplify right side
    10.83x = 120.60
  5. Step 5: Solve for x
    x = 120.60/10.83
  6. Step 6: Final answer
    x = 11.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.