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Finding the Fourth Proportional to 105.27, 145.33 and 63.84

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Solution

The fourth proportional to 105.27, 145.33 and 63.84 is: 88.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.27 : 145.33 = 63.84 : x
  2. Step 2: Convert to fraction form
    105.27/145.33 = 63.84/x
  3. Step 3: Cross multiply
    105.27x = 145.33 × 63.84
  4. Step 4: Simplify right side
    105.27x = 9,278.22
  5. Step 5: Solve for x
    x = 9,278.22/105.27
  6. Step 6: Final answer
    x = 88.14

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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.